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Finding the Fourth Proportional to 252.31, 348.16 and 141.80

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Solution

The fourth proportional to 252.31, 348.16 and 141.80 is: 195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.31 : 348.16 = 141.80 : x
  2. Step 2: Convert to fraction form
    252.31/348.16 = 141.80/x
  3. Step 3: Cross multiply
    252.31x = 348.16 × 141.80
  4. Step 4: Simplify right side
    252.31x = 49,368.83
  5. Step 5: Solve for x
    x = 49,368.83/252.31
  6. Step 6: Final answer
    x = 195.67

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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.