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Finding the Fourth Proportional to 263.66, 363.87 and 147.24

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Solution

The fourth proportional to 263.66, 363.87 and 147.24 is: 203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 363.87 = 147.24 : x
  2. Step 2: Convert to fraction form
    263.66/363.87 = 147.24/x
  3. Step 3: Cross multiply
    263.66x = 363.87 × 147.24
  4. Step 4: Simplify right side
    263.66x = 53,576.22
  5. Step 5: Solve for x
    x = 53,576.22/263.66
  6. Step 6: Final answer
    x = 203.21

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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.