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Finding the Fourth Proportional to 240.72, 360.77 and 154.02

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Solution

The fourth proportional to 240.72, 360.77 and 154.02 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 360.77 = 154.02 : x
  2. Step 2: Convert to fraction form
    240.72/360.77 = 154.02/x
  3. Step 3: Cross multiply
    240.72x = 360.77 × 154.02
  4. Step 4: Simplify right side
    240.72x = 55,565.80
  5. Step 5: Solve for x
    x = 55,565.80/240.72
  6. Step 6: Final answer
    x = 230.83

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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.