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Finding the Fourth Proportional to 240.20, 360.14 and 103.06

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Solution

The fourth proportional to 240.20, 360.14 and 103.06 is: 154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.20 : 360.14 = 103.06 : x
  2. Step 2: Convert to fraction form
    240.20/360.14 = 103.06/x
  3. Step 3: Cross multiply
    240.20x = 360.14 × 103.06
  4. Step 4: Simplify right side
    240.20x = 37,116.03
  5. Step 5: Solve for x
    x = 37,116.03/240.20
  6. Step 6: Final answer
    x = 154.52

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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.