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Finding the Fourth Proportional to 218.50, 301.59 and 149.50

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Solution

The fourth proportional to 218.50, 301.59 and 149.50 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.50 : 301.59 = 149.50 : x
  2. Step 2: Convert to fraction form
    218.50/301.59 = 149.50/x
  3. Step 3: Cross multiply
    218.50x = 301.59 × 149.50
  4. Step 4: Simplify right side
    218.50x = 45,087.71
  5. Step 5: Solve for x
    x = 45,087.71/218.50
  6. Step 6: Final answer
    x = 206.35

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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.