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Finding the Fourth Proportional to 410.94, 616.48 and 137.12

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Solution

The fourth proportional to 410.94, 616.48 and 137.12 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 616.48 = 137.12 : x
  2. Step 2: Convert to fraction form
    410.94/616.48 = 137.12/x
  3. Step 3: Cross multiply
    410.94x = 616.48 × 137.12
  4. Step 4: Simplify right side
    410.94x = 84,530.54
  5. Step 5: Solve for x
    x = 84,530.54/410.94
  6. Step 6: Final answer
    x = 205.70

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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.