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Finding the Fourth Proportional to 239.17, 358.67 and 123.74

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Solution

The fourth proportional to 239.17, 358.67 and 123.74 is: 185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.17 : 358.67 = 123.74 : x
  2. Step 2: Convert to fraction form
    239.17/358.67 = 123.74/x
  3. Step 3: Cross multiply
    239.17x = 358.67 × 123.74
  4. Step 4: Simplify right side
    239.17x = 44,381.83
  5. Step 5: Solve for x
    x = 44,381.83/239.17
  6. Step 6: Final answer
    x = 185.57

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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.