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Finding the Fourth Proportional to 332.10, 458.07 and 200.94

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Solution

The fourth proportional to 332.10, 458.07 and 200.94 is: 277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 458.07 = 200.94 : x
  2. Step 2: Convert to fraction form
    332.10/458.07 = 200.94/x
  3. Step 3: Cross multiply
    332.10x = 458.07 × 200.94
  4. Step 4: Simplify right side
    332.10x = 92,044.59
  5. Step 5: Solve for x
    x = 92,044.59/332.10
  6. Step 6: Final answer
    x = 277.16

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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.