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Finding the Fourth Proportional to 216.42, 298.74 and 138.78

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Solution

The fourth proportional to 216.42, 298.74 and 138.78 is: 191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 298.74 = 138.78 : x
  2. Step 2: Convert to fraction form
    216.42/298.74 = 138.78/x
  3. Step 3: Cross multiply
    216.42x = 298.74 × 138.78
  4. Step 4: Simplify right side
    216.42x = 41,459.14
  5. Step 5: Solve for x
    x = 41,459.14/216.42
  6. Step 6: Final answer
    x = 191.57

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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.