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Finding the Fourth Proportional to 263.57, 363.71 and 147.14

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Solution

The fourth proportional to 263.57, 363.71 and 147.14 is: 203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 363.71 = 147.14 : x
  2. Step 2: Convert to fraction form
    263.57/363.71 = 147.14/x
  3. Step 3: Cross multiply
    263.57x = 363.71 × 147.14
  4. Step 4: Simplify right side
    263.57x = 53,513.74
  5. Step 5: Solve for x
    x = 53,513.74/263.57
  6. Step 6: Final answer
    x = 203.04

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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.