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Finding the Fourth Proportional to 332.24, 458.52 and 201.32

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Solution

The fourth proportional to 332.24, 458.52 and 201.32 is: 277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 458.52 = 201.32 : x
  2. Step 2: Convert to fraction form
    332.24/458.52 = 201.32/x
  3. Step 3: Cross multiply
    332.24x = 458.52 × 201.32
  4. Step 4: Simplify right side
    332.24x = 92,309.25
  5. Step 5: Solve for x
    x = 92,309.25/332.24
  6. Step 6: Final answer
    x = 277.84

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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.