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Finding the Fourth Proportional to 296.60, 444.95 and 132.13

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Solution

The fourth proportional to 296.60, 444.95 and 132.13 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.60 : 444.95 = 132.13 : x
  2. Step 2: Convert to fraction form
    296.60/444.95 = 132.13/x
  3. Step 3: Cross multiply
    296.60x = 444.95 × 132.13
  4. Step 4: Simplify right side
    296.60x = 58,792.38
  5. Step 5: Solve for x
    x = 58,792.38/296.60
  6. Step 6: Final answer
    x = 198.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.