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Finding the Fourth Proportional to 184.59, 254.75 and 105.92

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Solution

The fourth proportional to 184.59, 254.75 and 105.92 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.59 : 254.75 = 105.92 : x
  2. Step 2: Convert to fraction form
    184.59/254.75 = 105.92/x
  3. Step 3: Cross multiply
    184.59x = 254.75 × 105.92
  4. Step 4: Simplify right side
    184.59x = 26,981.32
  5. Step 5: Solve for x
    x = 26,981.32/184.59
  6. Step 6: Final answer
    x = 146.17

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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.