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Finding the Fourth Proportional to 218.39, 301.61 and 152.78

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Solution

The fourth proportional to 218.39, 301.61 and 152.78 is: 211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.39 : 301.61 = 152.78 : x
  2. Step 2: Convert to fraction form
    218.39/301.61 = 152.78/x
  3. Step 3: Cross multiply
    218.39x = 301.61 × 152.78
  4. Step 4: Simplify right side
    218.39x = 46,079.98
  5. Step 5: Solve for x
    x = 46,079.98/218.39
  6. Step 6: Final answer
    x = 211.00

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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.