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Finding the Fourth Proportional to 184.87, 254.81 and 151.76

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Solution

The fourth proportional to 184.87, 254.81 and 151.76 is: 209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.87 : 254.81 = 151.76 : x
  2. Step 2: Convert to fraction form
    184.87/254.81 = 151.76/x
  3. Step 3: Cross multiply
    184.87x = 254.81 × 151.76
  4. Step 4: Simplify right side
    184.87x = 38,669.97
  5. Step 5: Solve for x
    x = 38,669.97/184.87
  6. Step 6: Final answer
    x = 209.17

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