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Finding the Fourth Proportional to 240.25, 360.32 and 94.01

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Solution

The fourth proportional to 240.25, 360.32 and 94.01 is: 140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.25 : 360.32 = 94.01 : x
  2. Step 2: Convert to fraction form
    240.25/360.32 = 94.01/x
  3. Step 3: Cross multiply
    240.25x = 360.32 × 94.01
  4. Step 4: Simplify right side
    240.25x = 33,872.97
  5. Step 5: Solve for x
    x = 33,872.97/240.25
  6. Step 6: Final answer
    x = 140.99

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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.