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Finding the Fourth Proportional to 410.94, 616.50 and 137.06

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Solution

The fourth proportional to 410.94, 616.50 and 137.06 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 616.50 = 137.06 : x
  2. Step 2: Convert to fraction form
    410.94/616.50 = 137.06/x
  3. Step 3: Cross multiply
    410.94x = 616.50 × 137.06
  4. Step 4: Simplify right side
    410.94x = 84,493.72
  5. Step 5: Solve for x
    x = 84,493.72/410.94
  6. Step 6: Final answer
    x = 205.61

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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.