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Finding the Fourth Proportional to 239.28, 359.07 and 117.47

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Solution

The fourth proportional to 239.28, 359.07 and 117.47 is: 176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.28 : 359.07 = 117.47 : x
  2. Step 2: Convert to fraction form
    239.28/359.07 = 117.47/x
  3. Step 3: Cross multiply
    239.28x = 359.07 × 117.47
  4. Step 4: Simplify right side
    239.28x = 42,179.95
  5. Step 5: Solve for x
    x = 42,179.95/239.28
  6. Step 6: Final answer
    x = 176.28

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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.