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Finding the Fourth Proportional to 184.71, 254.80 and 114.71

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Solution

The fourth proportional to 184.71, 254.80 and 114.71 is: 158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.71 : 254.80 = 114.71 : x
  2. Step 2: Convert to fraction form
    184.71/254.80 = 114.71/x
  3. Step 3: Cross multiply
    184.71x = 254.80 × 114.71
  4. Step 4: Simplify right side
    184.71x = 29,228.11
  5. Step 5: Solve for x
    x = 29,228.11/184.71
  6. Step 6: Final answer
    x = 158.24

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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.