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Finding the Fourth Proportional to 252.89, 348.05 and 179.07

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Solution

The fourth proportional to 252.89, 348.05 and 179.07 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.89 : 348.05 = 179.07 : x
  2. Step 2: Convert to fraction form
    252.89/348.05 = 179.07/x
  3. Step 3: Cross multiply
    252.89x = 348.05 × 179.07
  4. Step 4: Simplify right side
    252.89x = 62,324.42
  5. Step 5: Solve for x
    x = 62,324.42/252.89
  6. Step 6: Final answer
    x = 246.45

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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.