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Finding the Fourth Proportional to 240.20, 331.46 and 146.93

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Solution

The fourth proportional to 240.20, 331.46 and 146.93 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.20 : 331.46 = 146.93 : x
  2. Step 2: Convert to fraction form
    240.20/331.46 = 146.93/x
  3. Step 3: Cross multiply
    240.20x = 331.46 × 146.93
  4. Step 4: Simplify right side
    240.20x = 48,700.59
  5. Step 5: Solve for x
    x = 48,700.59/240.20
  6. Step 6: Final answer
    x = 202.75

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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.