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Finding the Fourth Proportional to 657.82, 986.46 and 225.10

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Solution

The fourth proportional to 657.82, 986.46 and 225.10 is: 337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.82 : 986.46 = 225.10 : x
  2. Step 2: Convert to fraction form
    657.82/986.46 = 225.10/x
  3. Step 3: Cross multiply
    657.82x = 986.46 × 225.10
  4. Step 4: Simplify right side
    657.82x = 222,052.15
  5. Step 5: Solve for x
    x = 222,052.15/657.82
  6. Step 6: Final answer
    x = 337.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.