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Finding the Fourth Proportional to 239.49, 359.40 and 102.57

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Solution

The fourth proportional to 239.49, 359.40 and 102.57 is: 153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.49 : 359.40 = 102.57 : x
  2. Step 2: Convert to fraction form
    239.49/359.40 = 102.57/x
  3. Step 3: Cross multiply
    239.49x = 359.40 × 102.57
  4. Step 4: Simplify right side
    239.49x = 36,863.66
  5. Step 5: Solve for x
    x = 36,863.66/239.49
  6. Step 6: Final answer
    x = 153.93

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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.