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Finding the Fourth Proportional to 561.64, 842.53 and 196.32

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Solution

The fourth proportional to 561.64, 842.53 and 196.32 is: 294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 842.53 = 196.32 : x
  2. Step 2: Convert to fraction form
    561.64/842.53 = 196.32/x
  3. Step 3: Cross multiply
    561.64x = 842.53 × 196.32
  4. Step 4: Simplify right side
    561.64x = 165,405.49
  5. Step 5: Solve for x
    x = 165,405.49/561.64
  6. Step 6: Final answer
    x = 294.50

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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.