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Finding the Fourth Proportional to 332.12, 457.94 and 207.74

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Solution

The fourth proportional to 332.12, 457.94 and 207.74 is: 286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.12 : 457.94 = 207.74 : x
  2. Step 2: Convert to fraction form
    332.12/457.94 = 207.74/x
  3. Step 3: Cross multiply
    332.12x = 457.94 × 207.74
  4. Step 4: Simplify right side
    332.12x = 95,132.46
  5. Step 5: Solve for x
    x = 95,132.46/332.12
  6. Step 6: Final answer
    x = 286.44

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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.