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Finding the Fourth Proportional to 239.04, 358.56 and 92.82

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Solution

The fourth proportional to 239.04, 358.56 and 92.82 is: 139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.04 : 358.56 = 92.82 : x
  2. Step 2: Convert to fraction form
    239.04/358.56 = 92.82/x
  3. Step 3: Cross multiply
    239.04x = 358.56 × 92.82
  4. Step 4: Simplify right side
    239.04x = 33,281.54
  5. Step 5: Solve for x
    x = 33,281.54/239.04
  6. Step 6: Final answer
    x = 139.23

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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.