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Finding the Fourth Proportional to 252.33, 348.18 and 148.83

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Solution

The fourth proportional to 252.33, 348.18 and 148.83 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.33 : 348.18 = 148.83 : x
  2. Step 2: Convert to fraction form
    252.33/348.18 = 148.83/x
  3. Step 3: Cross multiply
    252.33x = 348.18 × 148.83
  4. Step 4: Simplify right side
    252.33x = 51,819.63
  5. Step 5: Solve for x
    x = 51,819.63/252.33
  6. Step 6: Final answer
    x = 205.36

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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.