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Finding the Fourth Proportional to 263.60, 363.75 and 145.57

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Solution

The fourth proportional to 263.60, 363.75 and 145.57 is: 200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 363.75 = 145.57 : x
  2. Step 2: Convert to fraction form
    263.60/363.75 = 145.57/x
  3. Step 3: Cross multiply
    263.60x = 363.75 × 145.57
  4. Step 4: Simplify right side
    263.60x = 52,951.20
  5. Step 5: Solve for x
    x = 52,951.20/263.60
  6. Step 6: Final answer
    x = 200.88

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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.