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Finding the Fourth Proportional to 239.52, 359.01 and 142.08

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Solution

The fourth proportional to 239.52, 359.01 and 142.08 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.52 : 359.01 = 142.08 : x
  2. Step 2: Convert to fraction form
    239.52/359.01 = 142.08/x
  3. Step 3: Cross multiply
    239.52x = 359.01 × 142.08
  4. Step 4: Simplify right side
    239.52x = 51,008.14
  5. Step 5: Solve for x
    x = 51,008.14/239.52
  6. Step 6: Final answer
    x = 212.96

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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.