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Finding the Fourth Proportional to 239.20, 358.50 and 102.04

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Solution

The fourth proportional to 239.20, 358.50 and 102.04 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 358.50 = 102.04 : x
  2. Step 2: Convert to fraction form
    239.20/358.50 = 102.04/x
  3. Step 3: Cross multiply
    239.20x = 358.50 × 102.04
  4. Step 4: Simplify right side
    239.20x = 36,581.34
  5. Step 5: Solve for x
    x = 36,581.34/239.20
  6. Step 6: Final answer
    x = 152.93

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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.