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Finding the Fourth Proportional to 201.74, 302.76 and 97.61

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Solution

The fourth proportional to 201.74, 302.76 and 97.61 is: 146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.74 : 302.76 = 97.61 : x
  2. Step 2: Convert to fraction form
    201.74/302.76 = 97.61/x
  3. Step 3: Cross multiply
    201.74x = 302.76 × 97.61
  4. Step 4: Simplify right side
    201.74x = 29,550.89
  5. Step 5: Solve for x
    x = 29,550.89/201.74
  6. Step 6: Final answer
    x = 146.48

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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.