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Finding the Fourth Proportional to 417.22, 625.65 and 157.12

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Solution

The fourth proportional to 417.22, 625.65 and 157.12 is: 235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.22 : 625.65 = 157.12 : x
  2. Step 2: Convert to fraction form
    417.22/625.65 = 157.12/x
  3. Step 3: Cross multiply
    417.22x = 625.65 × 157.12
  4. Step 4: Simplify right side
    417.22x = 98,302.13
  5. Step 5: Solve for x
    x = 98,302.13/417.22
  6. Step 6: Final answer
    x = 235.61

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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.