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Finding the Fourth Proportional to 240.01, 360.01 and 102.97

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Solution

The fourth proportional to 240.01, 360.01 and 102.97 is: 154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.01 : 360.01 = 102.97 : x
  2. Step 2: Convert to fraction form
    240.01/360.01 = 102.97/x
  3. Step 3: Cross multiply
    240.01x = 360.01 × 102.97
  4. Step 4: Simplify right side
    240.01x = 37,069.59
  5. Step 5: Solve for x
    x = 37,069.59/240.01
  6. Step 6: Final answer
    x = 154.45

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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.