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Finding the Fourth Proportional to 296.87, 444.90 and 159.62

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Solution

The fourth proportional to 296.87, 444.90 and 159.62 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.87 : 444.90 = 159.62 : x
  2. Step 2: Convert to fraction form
    296.87/444.90 = 159.62/x
  3. Step 3: Cross multiply
    296.87x = 444.90 × 159.62
  4. Step 4: Simplify right side
    296.87x = 71,012.71
  5. Step 5: Solve for x
    x = 71,012.71/296.87
  6. Step 6: Final answer
    x = 239.21

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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.