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Finding the Fourth Proportional to 240.70, 360.97 and 78.34

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Solution

The fourth proportional to 240.70, 360.97 and 78.34 is: 117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.70 : 360.97 = 78.34 : x
  2. Step 2: Convert to fraction form
    240.70/360.97 = 78.34/x
  3. Step 3: Cross multiply
    240.70x = 360.97 × 78.34
  4. Step 4: Simplify right side
    240.70x = 28,278.39
  5. Step 5: Solve for x
    x = 28,278.39/240.70
  6. Step 6: Final answer
    x = 117.48

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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.