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Finding the Fourth Proportional to 216.40, 298.56 and 138.82

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Solution

The fourth proportional to 216.40, 298.56 and 138.82 is: 191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 298.56 = 138.82 : x
  2. Step 2: Convert to fraction form
    216.40/298.56 = 138.82/x
  3. Step 3: Cross multiply
    216.40x = 298.56 × 138.82
  4. Step 4: Simplify right side
    216.40x = 41,446.10
  5. Step 5: Solve for x
    x = 41,446.10/216.40
  6. Step 6: Final answer
    x = 191.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.