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Finding the Fourth Proportional to 252.10, 378.09 and 97.97

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Solution

The fourth proportional to 252.10, 378.09 and 97.97 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.10 : 378.09 = 97.97 : x
  2. Step 2: Convert to fraction form
    252.10/378.09 = 97.97/x
  3. Step 3: Cross multiply
    252.10x = 378.09 × 97.97
  4. Step 4: Simplify right side
    252.10x = 37,041.11
  5. Step 5: Solve for x
    x = 37,041.11/252.10
  6. Step 6: Final answer
    x = 146.93

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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.