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Finding the Fourth Proportional to 657.95, 986.89 and 225.11

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Solution

The fourth proportional to 657.95, 986.89 and 225.11 is: 337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 986.89 = 225.11 : x
  2. Step 2: Convert to fraction form
    657.95/986.89 = 225.11/x
  3. Step 3: Cross multiply
    657.95x = 986.89 × 225.11
  4. Step 4: Simplify right side
    657.95x = 222,158.81
  5. Step 5: Solve for x
    x = 222,158.81/657.95
  6. Step 6: Final answer
    x = 337.65

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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.