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Finding the Fourth Proportional to 218.51, 301.74 and 135.76

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Solution

The fourth proportional to 218.51, 301.74 and 135.76 is: 187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.51 : 301.74 = 135.76 : x
  2. Step 2: Convert to fraction form
    218.51/301.74 = 135.76/x
  3. Step 3: Cross multiply
    218.51x = 301.74 × 135.76
  4. Step 4: Simplify right side
    218.51x = 40,963.08
  5. Step 5: Solve for x
    x = 40,963.08/218.51
  6. Step 6: Final answer
    x = 187.47

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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.