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Finding the Fourth Proportional to 184.66, 277.19 and 126.14

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Solution

The fourth proportional to 184.66, 277.19 and 126.14 is: 189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.66 : 277.19 = 126.14 : x
  2. Step 2: Convert to fraction form
    184.66/277.19 = 126.14/x
  3. Step 3: Cross multiply
    184.66x = 277.19 × 126.14
  4. Step 4: Simplify right side
    184.66x = 34,963.20
  5. Step 5: Solve for x
    x = 34,963.20/184.66
  6. Step 6: Final answer
    x = 189.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.