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Finding the Fourth Proportional to 184.52, 254.62 and 101.61

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Solution

The fourth proportional to 184.52, 254.62 and 101.61 is: 140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.52 : 254.62 = 101.61 : x
  2. Step 2: Convert to fraction form
    184.52/254.62 = 101.61/x
  3. Step 3: Cross multiply
    184.52x = 254.62 × 101.61
  4. Step 4: Simplify right side
    184.52x = 25,870.16
  5. Step 5: Solve for x
    x = 25,870.16/184.52
  6. Step 6: Final answer
    x = 140.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.