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Finding the Fourth Proportional to 240.30, 360.66 and 149.16

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Solution

The fourth proportional to 240.30, 360.66 and 149.16 is: 223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 360.66 = 149.16 : x
  2. Step 2: Convert to fraction form
    240.30/360.66 = 149.16/x
  3. Step 3: Cross multiply
    240.30x = 360.66 × 149.16
  4. Step 4: Simplify right side
    240.30x = 53,796.05
  5. Step 5: Solve for x
    x = 53,796.05/240.30
  6. Step 6: Final answer
    x = 223.87

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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.