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Finding the Fourth Proportional to 201.18, 301.53 and 119.78

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Solution

The fourth proportional to 201.18, 301.53 and 119.78 is: 179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 301.53 = 119.78 : x
  2. Step 2: Convert to fraction form
    201.18/301.53 = 119.78/x
  3. Step 3: Cross multiply
    201.18x = 301.53 × 119.78
  4. Step 4: Simplify right side
    201.18x = 36,117.34
  5. Step 5: Solve for x
    x = 36,117.34/201.18
  6. Step 6: Final answer
    x = 179.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.