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Finding the Fourth Proportional to 239.54, 358.96 and 117.66

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Solution

The fourth proportional to 239.54, 358.96 and 117.66 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.54 : 358.96 = 117.66 : x
  2. Step 2: Convert to fraction form
    239.54/358.96 = 117.66/x
  3. Step 3: Cross multiply
    239.54x = 358.96 × 117.66
  4. Step 4: Simplify right side
    239.54x = 42,234.65
  5. Step 5: Solve for x
    x = 42,234.65/239.54
  6. Step 6: Final answer
    x = 176.32

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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.