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Finding the Fourth Proportional to 218.52, 301.26 and 185.70

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Solution

The fourth proportional to 218.52, 301.26 and 185.70 is: 256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 301.26 = 185.70 : x
  2. Step 2: Convert to fraction form
    218.52/301.26 = 185.70/x
  3. Step 3: Cross multiply
    218.52x = 301.26 × 185.70
  4. Step 4: Simplify right side
    218.52x = 55,943.98
  5. Step 5: Solve for x
    x = 55,943.98/218.52
  6. Step 6: Final answer
    x = 256.01

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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.