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Finding the Fourth Proportional to 296.24, 444.56 and 159.39

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Solution

The fourth proportional to 296.24, 444.56 and 159.39 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 444.56 = 159.39 : x
  2. Step 2: Convert to fraction form
    296.24/444.56 = 159.39/x
  3. Step 3: Cross multiply
    296.24x = 444.56 × 159.39
  4. Step 4: Simplify right side
    296.24x = 70,858.42
  5. Step 5: Solve for x
    x = 70,858.42/296.24
  6. Step 6: Final answer
    x = 239.19

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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.