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Finding the Fourth Proportional to 218.43, 301.53 and 135.65

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Solution

The fourth proportional to 218.43, 301.53 and 135.65 is: 187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.43 : 301.53 = 135.65 : x
  2. Step 2: Convert to fraction form
    218.43/301.53 = 135.65/x
  3. Step 3: Cross multiply
    218.43x = 301.53 × 135.65
  4. Step 4: Simplify right side
    218.43x = 40,900.36
  5. Step 5: Solve for x
    x = 40,900.36/218.43
  6. Step 6: Final answer
    x = 187.25

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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.