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Finding the Fourth Proportional to 184.06, 254.00 and 101.17

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Solution

The fourth proportional to 184.06, 254.00 and 101.17 is: 139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.06 : 254.00 = 101.17 : x
  2. Step 2: Convert to fraction form
    184.06/254.00 = 101.17/x
  3. Step 3: Cross multiply
    184.06x = 254.00 × 101.17
  4. Step 4: Simplify right side
    184.06x = 25,695.75
  5. Step 5: Solve for x
    x = 25,695.75/184.06
  6. Step 6: Final answer
    x = 139.61

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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.