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Finding the Fourth Proportional to 218.24, 301.16 and 135.40

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Solution

The fourth proportional to 218.24, 301.16 and 135.40 is: 186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 301.16 = 135.40 : x
  2. Step 2: Convert to fraction form
    218.24/301.16 = 135.40/x
  3. Step 3: Cross multiply
    218.24x = 301.16 × 135.40
  4. Step 4: Simplify right side
    218.24x = 40,777.06
  5. Step 5: Solve for x
    x = 40,777.06/218.24
  6. Step 6: Final answer
    x = 186.85

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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.