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Finding the Fourth Proportional to 218.31, 301.02 and 187.32

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Solution

The fourth proportional to 218.31, 301.02 and 187.32 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 301.02 = 187.32 : x
  2. Step 2: Convert to fraction form
    218.31/301.02 = 187.32/x
  3. Step 3: Cross multiply
    218.31x = 301.02 × 187.32
  4. Step 4: Simplify right side
    218.31x = 56,387.07
  5. Step 5: Solve for x
    x = 56,387.07/218.31
  6. Step 6: Final answer
    x = 258.29

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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.