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Finding the Fourth Proportional to 616.79, 925.04 and 177.94

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Solution

The fourth proportional to 616.79, 925.04 and 177.94 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.79 : 925.04 = 177.94 : x
  2. Step 2: Convert to fraction form
    616.79/925.04 = 177.94/x
  3. Step 3: Cross multiply
    616.79x = 925.04 × 177.94
  4. Step 4: Simplify right side
    616.79x = 164,599.31
  5. Step 5: Solve for x
    x = 164,599.31/616.79
  6. Step 6: Final answer
    x = 266.87

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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.