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Finding the Fourth Proportional to 332.55, 458.92 and 201.56

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Solution

The fourth proportional to 332.55, 458.92 and 201.56 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.55 : 458.92 = 201.56 : x
  2. Step 2: Convert to fraction form
    332.55/458.92 = 201.56/x
  3. Step 3: Cross multiply
    332.55x = 458.92 × 201.56
  4. Step 4: Simplify right side
    332.55x = 92,496.61
  5. Step 5: Solve for x
    x = 92,496.61/332.55
  6. Step 6: Final answer
    x = 278.14

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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.