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Finding the Fourth Proportional to 332.25, 458.51 and 201.26

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Solution

The fourth proportional to 332.25, 458.51 and 201.26 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.25 : 458.51 = 201.26 : x
  2. Step 2: Convert to fraction form
    332.25/458.51 = 201.26/x
  3. Step 3: Cross multiply
    332.25x = 458.51 × 201.26
  4. Step 4: Simplify right side
    332.25x = 92,276.42
  5. Step 5: Solve for x
    x = 92,276.42/332.25
  6. Step 6: Final answer
    x = 277.73

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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.