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Finding the Fourth Proportional to 616.69, 924.90 and 177.94

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Solution

The fourth proportional to 616.69, 924.90 and 177.94 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.69 : 924.90 = 177.94 : x
  2. Step 2: Convert to fraction form
    616.69/924.90 = 177.94/x
  3. Step 3: Cross multiply
    616.69x = 924.90 × 177.94
  4. Step 4: Simplify right side
    616.69x = 164,576.71
  5. Step 5: Solve for x
    x = 164,576.71/616.69
  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.