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Finding the Fourth Proportional to 332.29, 458.56 and 182.93

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Solution

The fourth proportional to 332.29, 458.56 and 182.93 is: 252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.29 : 458.56 = 182.93 : x
  2. Step 2: Convert to fraction form
    332.29/458.56 = 182.93/x
  3. Step 3: Cross multiply
    332.29x = 458.56 × 182.93
  4. Step 4: Simplify right side
    332.29x = 83,882.32
  5. Step 5: Solve for x
    x = 83,882.32/332.29
  6. Step 6: Final answer
    x = 252.44

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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.