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Finding the Fourth Proportional to 332.10, 458.31 and 184.71

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Solution

The fourth proportional to 332.10, 458.31 and 184.71 is: 254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 458.31 = 184.71 : x
  2. Step 2: Convert to fraction form
    332.10/458.31 = 184.71/x
  3. Step 3: Cross multiply
    332.10x = 458.31 × 184.71
  4. Step 4: Simplify right side
    332.10x = 84,654.44
  5. Step 5: Solve for x
    x = 84,654.44/332.10
  6. Step 6: Final answer
    x = 254.91

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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.