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Finding the Fourth Proportional to 218.34, 302.13 and 189.18

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Solution

The fourth proportional to 218.34, 302.13 and 189.18 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 302.13 = 189.18 : x
  2. Step 2: Convert to fraction form
    218.34/302.13 = 189.18/x
  3. Step 3: Cross multiply
    218.34x = 302.13 × 189.18
  4. Step 4: Simplify right side
    218.34x = 57,156.95
  5. Step 5: Solve for x
    x = 57,156.95/218.34
  6. Step 6: Final answer
    x = 261.78

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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.