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Finding the Fourth Proportional to 410.96, 616.09 and 136.98

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Solution

The fourth proportional to 410.96, 616.09 and 136.98 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 616.09 = 136.98 : x
  2. Step 2: Convert to fraction form
    410.96/616.09 = 136.98/x
  3. Step 3: Cross multiply
    410.96x = 616.09 × 136.98
  4. Step 4: Simplify right side
    410.96x = 84,392.01
  5. Step 5: Solve for x
    x = 84,392.01/410.96
  6. Step 6: Final answer
    x = 205.35

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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.