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Finding the Fourth Proportional to 332.00, 458.12 and 184.61

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Solution

The fourth proportional to 332.00, 458.12 and 184.61 is: 254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.00 : 458.12 = 184.61 : x
  2. Step 2: Convert to fraction form
    332.00/458.12 = 184.61/x
  3. Step 3: Cross multiply
    332.00x = 458.12 × 184.61
  4. Step 4: Simplify right side
    332.00x = 84,575.14
  5. Step 5: Solve for x
    x = 84,575.14/332.00
  6. Step 6: Final answer
    x = 254.75

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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.