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Finding the Fourth Proportional to 296.50, 409.17 and 180.10

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Solution

The fourth proportional to 296.50, 409.17 and 180.10 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 409.17 = 180.10 : x
  2. Step 2: Convert to fraction form
    296.50/409.17 = 180.10/x
  3. Step 3: Cross multiply
    296.50x = 409.17 × 180.10
  4. Step 4: Simplify right side
    296.50x = 73,691.52
  5. Step 5: Solve for x
    x = 73,691.52/296.50
  6. Step 6: Final answer
    x = 248.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.