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Finding the Fourth Proportional to 184.83, 275.88 and 138.97

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Solution

The fourth proportional to 184.83, 275.88 and 138.97 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.83 : 275.88 = 138.97 : x
  2. Step 2: Convert to fraction form
    184.83/275.88 = 138.97/x
  3. Step 3: Cross multiply
    184.83x = 275.88 × 138.97
  4. Step 4: Simplify right side
    184.83x = 38,337.97
  5. Step 5: Solve for x
    x = 38,337.97/184.83
  6. Step 6: Final answer
    x = 207.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.