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Finding the Fourth Proportional to 239.52, 359.12 and 117.70

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Solution

The fourth proportional to 239.52, 359.12 and 117.70 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.52 : 359.12 = 117.70 : x
  2. Step 2: Convert to fraction form
    239.52/359.12 = 117.70/x
  3. Step 3: Cross multiply
    239.52x = 359.12 × 117.70
  4. Step 4: Simplify right side
    239.52x = 42,268.42
  5. Step 5: Solve for x
    x = 42,268.42/239.52
  6. Step 6: Final answer
    x = 176.47

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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.