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Finding the Fourth Proportional to 240.07, 331.11 and 146.80

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Solution

The fourth proportional to 240.07, 331.11 and 146.80 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.07 : 331.11 = 146.80 : x
  2. Step 2: Convert to fraction form
    240.07/331.11 = 146.80/x
  3. Step 3: Cross multiply
    240.07x = 331.11 × 146.80
  4. Step 4: Simplify right side
    240.07x = 48,606.95
  5. Step 5: Solve for x
    x = 48,606.95/240.07
  6. Step 6: Final answer
    x = 202.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.