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Finding the Fourth Proportional to 410.83, 616.09 and 118.23

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Solution

The fourth proportional to 410.83, 616.09 and 118.23 is: 177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.83 : 616.09 = 118.23 : x
  2. Step 2: Convert to fraction form
    410.83/616.09 = 118.23/x
  3. Step 3: Cross multiply
    410.83x = 616.09 × 118.23
  4. Step 4: Simplify right side
    410.83x = 72,841.43
  5. Step 5: Solve for x
    x = 72,841.43/410.83
  6. Step 6: Final answer
    x = 177.30

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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.