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Finding the Fourth Proportional to 561.85, 842.84 and 150.99

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Solution

The fourth proportional to 561.85, 842.84 and 150.99 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.85 : 842.84 = 150.99 : x
  2. Step 2: Convert to fraction form
    561.85/842.84 = 150.99/x
  3. Step 3: Cross multiply
    561.85x = 842.84 × 150.99
  4. Step 4: Simplify right side
    561.85x = 127,260.41
  5. Step 5: Solve for x
    x = 127,260.41/561.85
  6. Step 6: Final answer
    x = 226.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.