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Finding the Fourth Proportional to 263.93, 396.05 and 101.61

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Solution

The fourth proportional to 263.93, 396.05 and 101.61 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.93 : 396.05 = 101.61 : x
  2. Step 2: Convert to fraction form
    263.93/396.05 = 101.61/x
  3. Step 3: Cross multiply
    263.93x = 396.05 × 101.61
  4. Step 4: Simplify right side
    263.93x = 40,242.13
  5. Step 5: Solve for x
    x = 40,242.13/263.93
  6. Step 6: Final answer
    x = 152.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.