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Finding the Fourth Proportional to 218.16, 301.13 and 135.23

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Solution

The fourth proportional to 218.16, 301.13 and 135.23 is: 186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 301.13 = 135.23 : x
  2. Step 2: Convert to fraction form
    218.16/301.13 = 135.23/x
  3. Step 3: Cross multiply
    218.16x = 301.13 × 135.23
  4. Step 4: Simplify right side
    218.16x = 40,719.63
  5. Step 5: Solve for x
    x = 40,719.63/218.16
  6. Step 6: Final answer
    x = 186.65

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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.