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Finding the Fourth Proportional to 296.46, 445.14 and 159.77

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Solution

The fourth proportional to 296.46, 445.14 and 159.77 is: 239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 445.14 = 159.77 : x
  2. Step 2: Convert to fraction form
    296.46/445.14 = 159.77/x
  3. Step 3: Cross multiply
    296.46x = 445.14 × 159.77
  4. Step 4: Simplify right side
    296.46x = 71,121.13
  5. Step 5: Solve for x
    x = 71,121.13/296.46
  6. Step 6: Final answer
    x = 239.90

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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.