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Finding the Fourth Proportional to 357.27, 493 and 207.90

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Solution

The fourth proportional to 357.27, 493 and 207.90 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 493 = 207.90 : x
  2. Step 2: Convert to fraction form
    357.27/493 = 207.90/x
  3. Step 3: Cross multiply
    357.27x = 493 × 207.90
  4. Step 4: Simplify right side
    357.27x = 102,494.70
  5. Step 5: Solve for x
    x = 102,494.70/357.27
  6. Step 6: Final answer
    x = 286.88

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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.