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Finding the Fourth Proportional to 240.14, 331.62 and 153.02

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Solution

The fourth proportional to 240.14, 331.62 and 153.02 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.14 : 331.62 = 153.02 : x
  2. Step 2: Convert to fraction form
    240.14/331.62 = 153.02/x
  3. Step 3: Cross multiply
    240.14x = 331.62 × 153.02
  4. Step 4: Simplify right side
    240.14x = 50,744.49
  5. Step 5: Solve for x
    x = 50,744.49/240.14
  6. Step 6: Final answer
    x = 211.31

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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.