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Finding the Fourth Proportional to 240.15, 360.21 and 137.11

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Solution

The fourth proportional to 240.15, 360.21 and 137.11 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.15 : 360.21 = 137.11 : x
  2. Step 2: Convert to fraction form
    240.15/360.21 = 137.11/x
  3. Step 3: Cross multiply
    240.15x = 360.21 × 137.11
  4. Step 4: Simplify right side
    240.15x = 49,388.39
  5. Step 5: Solve for x
    x = 49,388.39/240.15
  6. Step 6: Final answer
    x = 205.66

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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.