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Finding the Fourth Proportional to 410.94, 616.37 and 151.13

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Solution

The fourth proportional to 410.94, 616.37 and 151.13 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 616.37 = 151.13 : x
  2. Step 2: Convert to fraction form
    410.94/616.37 = 151.13/x
  3. Step 3: Cross multiply
    410.94x = 616.37 × 151.13
  4. Step 4: Simplify right side
    410.94x = 93,152.00
  5. Step 5: Solve for x
    x = 93,152.00/410.94
  6. Step 6: Final answer
    x = 226.68

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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.