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Finding the Fourth Proportional to 252.90, 348.92 and 154.50

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Solution

The fourth proportional to 252.90, 348.92 and 154.50 is: 213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 348.92 = 154.50 : x
  2. Step 2: Convert to fraction form
    252.90/348.92 = 154.50/x
  3. Step 3: Cross multiply
    252.90x = 348.92 × 154.50
  4. Step 4: Simplify right side
    252.90x = 53,908.14
  5. Step 5: Solve for x
    x = 53,908.14/252.90
  6. Step 6: Final answer
    x = 213.16

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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.