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Finding the Fourth Proportional to 184.78, 254.98 and 101.87

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Solution

The fourth proportional to 184.78, 254.98 and 101.87 is: 140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 254.98 = 101.87 : x
  2. Step 2: Convert to fraction form
    184.78/254.98 = 101.87/x
  3. Step 3: Cross multiply
    184.78x = 254.98 × 101.87
  4. Step 4: Simplify right side
    184.78x = 25,974.30
  5. Step 5: Solve for x
    x = 25,974.30/184.78
  6. Step 6: Final answer
    x = 140.57

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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.