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Finding the Fourth Proportional to 218.34, 299.12 and 210.13

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Solution

The fourth proportional to 218.34, 299.12 and 210.13 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 299.12 = 210.13 : x
  2. Step 2: Convert to fraction form
    218.34/299.12 = 210.13/x
  3. Step 3: Cross multiply
    218.34x = 299.12 × 210.13
  4. Step 4: Simplify right side
    218.34x = 62,854.09
  5. Step 5: Solve for x
    x = 62,854.09/218.34
  6. Step 6: Final answer
    x = 287.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.