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Finding the Fourth Proportional to 561.93, 842.93 and 151.07

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Solution

The fourth proportional to 561.93, 842.93 and 151.07 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 842.93 = 151.07 : x
  2. Step 2: Convert to fraction form
    561.93/842.93 = 151.07/x
  3. Step 3: Cross multiply
    561.93x = 842.93 × 151.07
  4. Step 4: Simplify right side
    561.93x = 127,341.44
  5. Step 5: Solve for x
    x = 127,341.44/561.93
  6. Step 6: Final answer
    x = 226.61

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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.