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Finding the Fourth Proportional to 218.11, 301.10 and 152.74

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Solution

The fourth proportional to 218.11, 301.10 and 152.74 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.11 : 301.10 = 152.74 : x
  2. Step 2: Convert to fraction form
    218.11/301.10 = 152.74/x
  3. Step 3: Cross multiply
    218.11x = 301.10 × 152.74
  4. Step 4: Simplify right side
    218.11x = 45,988.79
  5. Step 5: Solve for x
    x = 45,988.79/218.11
  6. Step 6: Final answer
    x = 210.85

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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.