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Finding the Fourth Proportional to 616.76, 925.07 and 177.99

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Solution

The fourth proportional to 616.76, 925.07 and 177.99 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.76 : 925.07 = 177.99 : x
  2. Step 2: Convert to fraction form
    616.76/925.07 = 177.99/x
  3. Step 3: Cross multiply
    616.76x = 925.07 × 177.99
  4. Step 4: Simplify right side
    616.76x = 164,653.65
  5. Step 5: Solve for x
    x = 164,653.65/616.76
  6. Step 6: Final answer
    x = 266.96

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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.