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Finding the Fourth Proportional to 292.52, 439.32 and 237.85

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Solution

The fourth proportional to 292.52, 439.32 and 237.85 is: 357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.52 : 439.32 = 237.85 : x
  2. Step 2: Convert to fraction form
    292.52/439.32 = 237.85/x
  3. Step 3: Cross multiply
    292.52x = 439.32 × 237.85
  4. Step 4: Simplify right side
    292.52x = 104,492.26
  5. Step 5: Solve for x
    x = 104,492.26/292.52
  6. Step 6: Final answer
    x = 357.21

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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.