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Finding the Fourth Proportional to 616.70, 925.17 and 226.66

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Solution

The fourth proportional to 616.70, 925.17 and 226.66 is: 340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.70 : 925.17 = 226.66 : x
  2. Step 2: Convert to fraction form
    616.70/925.17 = 226.66/x
  3. Step 3: Cross multiply
    616.70x = 925.17 × 226.66
  4. Step 4: Simplify right side
    616.70x = 209,699.03
  5. Step 5: Solve for x
    x = 209,699.03/616.70
  6. Step 6: Final answer
    x = 340.03

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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.