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Finding the Fourth Proportional to 240.68, 360.75 and 138.01

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Solution

The fourth proportional to 240.68, 360.75 and 138.01 is: 206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.68 : 360.75 = 138.01 : x
  2. Step 2: Convert to fraction form
    240.68/360.75 = 138.01/x
  3. Step 3: Cross multiply
    240.68x = 360.75 × 138.01
  4. Step 4: Simplify right side
    240.68x = 49,787.11
  5. Step 5: Solve for x
    x = 49,787.11/240.68
  6. Step 6: Final answer
    x = 206.86

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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.