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Finding the Fourth Proportional to 237.32, 354.91 and 160.17

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Solution

The fourth proportional to 237.32, 354.91 and 160.17 is: 239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.32 : 354.91 = 160.17 : x
  2. Step 2: Convert to fraction form
    237.32/354.91 = 160.17/x
  3. Step 3: Cross multiply
    237.32x = 354.91 × 160.17
  4. Step 4: Simplify right side
    237.32x = 56,845.93
  5. Step 5: Solve for x
    x = 56,845.93/237.32
  6. Step 6: Final answer
    x = 239.53

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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.