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Finding the Fourth Proportional to 239.34, 359.15 and 102.38

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Solution

The fourth proportional to 239.34, 359.15 and 102.38 is: 153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.34 : 359.15 = 102.38 : x
  2. Step 2: Convert to fraction form
    239.34/359.15 = 102.38/x
  3. Step 3: Cross multiply
    239.34x = 359.15 × 102.38
  4. Step 4: Simplify right side
    239.34x = 36,767.47
  5. Step 5: Solve for x
    x = 36,767.47/239.34
  6. Step 6: Final answer
    x = 153.62

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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.