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Finding the Fourth Proportional to 332.05, 458.24 and 184.69

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Solution

The fourth proportional to 332.05, 458.24 and 184.69 is: 254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.05 : 458.24 = 184.69 : x
  2. Step 2: Convert to fraction form
    332.05/458.24 = 184.69/x
  3. Step 3: Cross multiply
    332.05x = 458.24 × 184.69
  4. Step 4: Simplify right side
    332.05x = 84,631.42
  5. Step 5: Solve for x
    x = 84,631.42/332.05
  6. Step 6: Final answer
    x = 254.88

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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.