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Finding the Fourth Proportional to 263.06, 362.92 and 158.10

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Solution

The fourth proportional to 263.06, 362.92 and 158.10 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 362.92 = 158.10 : x
  2. Step 2: Convert to fraction form
    263.06/362.92 = 158.10/x
  3. Step 3: Cross multiply
    263.06x = 362.92 × 158.10
  4. Step 4: Simplify right side
    263.06x = 57,377.65
  5. Step 5: Solve for x
    x = 57,377.65/263.06
  6. Step 6: Final answer
    x = 218.12

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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.