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Finding the Fourth Proportional to 216.14, 298.11 and 153.91

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Solution

The fourth proportional to 216.14, 298.11 and 153.91 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 298.11 = 153.91 : x
  2. Step 2: Convert to fraction form
    216.14/298.11 = 153.91/x
  3. Step 3: Cross multiply
    216.14x = 298.11 × 153.91
  4. Step 4: Simplify right side
    216.14x = 45,882.11
  5. Step 5: Solve for x
    x = 45,882.11/216.14
  6. Step 6: Final answer
    x = 212.28

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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.