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Finding the Fourth Proportional to 240.80, 360.97 and 153.89

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Solution

The fourth proportional to 240.80, 360.97 and 153.89 is: 230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.80 : 360.97 = 153.89 : x
  2. Step 2: Convert to fraction form
    240.80/360.97 = 153.89/x
  3. Step 3: Cross multiply
    240.80x = 360.97 × 153.89
  4. Step 4: Simplify right side
    240.80x = 55,549.67
  5. Step 5: Solve for x
    x = 55,549.67/240.80
  6. Step 6: Final answer
    x = 230.69

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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.