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Finding the Fourth Proportional to 616.24, 924.36 and 183.43

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Solution

The fourth proportional to 616.24, 924.36 and 183.43 is: 275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.24 : 924.36 = 183.43 : x
  2. Step 2: Convert to fraction form
    616.24/924.36 = 183.43/x
  3. Step 3: Cross multiply
    616.24x = 924.36 × 183.43
  4. Step 4: Simplify right side
    616.24x = 169,555.35
  5. Step 5: Solve for x
    x = 169,555.35/616.24
  6. Step 6: Final answer
    x = 275.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.