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Finding the Fourth Proportional to 616.11, 924.31 and 183.26

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Solution

The fourth proportional to 616.11, 924.31 and 183.26 is: 274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.11 : 924.31 = 183.26 : x
  2. Step 2: Convert to fraction form
    616.11/924.31 = 183.26/x
  3. Step 3: Cross multiply
    616.11x = 924.31 × 183.26
  4. Step 4: Simplify right side
    616.11x = 169,391.59
  5. Step 5: Solve for x
    x = 169,391.59/616.11
  6. Step 6: Final answer
    x = 274.94

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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.