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Finding the Fourth Proportional to 296.28, 443.71 and 174.18

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Solution

The fourth proportional to 296.28, 443.71 and 174.18 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.28 : 443.71 = 174.18 : x
  2. Step 2: Convert to fraction form
    296.28/443.71 = 174.18/x
  3. Step 3: Cross multiply
    296.28x = 443.71 × 174.18
  4. Step 4: Simplify right side
    296.28x = 77,285.41
  5. Step 5: Solve for x
    x = 77,285.41/296.28
  6. Step 6: Final answer
    x = 260.85

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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.