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Finding the Fourth Proportional to 616.81, 925.36 and 183.96

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Solution

The fourth proportional to 616.81, 925.36 and 183.96 is: 275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.81 : 925.36 = 183.96 : x
  2. Step 2: Convert to fraction form
    616.81/925.36 = 183.96/x
  3. Step 3: Cross multiply
    616.81x = 925.36 × 183.96
  4. Step 4: Simplify right side
    616.81x = 170,229.23
  5. Step 5: Solve for x
    x = 170,229.23/616.81
  6. Step 6: Final answer
    x = 275.98

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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.