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Finding the Fourth Proportional to 616.67, 925.01 and 183.83

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Solution

The fourth proportional to 616.67, 925.01 and 183.83 is: 275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.67 : 925.01 = 183.83 : x
  2. Step 2: Convert to fraction form
    616.67/925.01 = 183.83/x
  3. Step 3: Cross multiply
    616.67x = 925.01 × 183.83
  4. Step 4: Simplify right side
    616.67x = 170,039.73
  5. Step 5: Solve for x
    x = 170,039.73/616.67
  6. Step 6: Final answer
    x = 275.74

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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.