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Finding the Fourth Proportional to 263.32, 363.60 and 255.16

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Solution

The fourth proportional to 263.32, 363.60 and 255.16 is: 352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.32 : 363.60 = 255.16 : x
  2. Step 2: Convert to fraction form
    263.32/363.60 = 255.16/x
  3. Step 3: Cross multiply
    263.32x = 363.60 × 255.16
  4. Step 4: Simplify right side
    263.32x = 92,776.18
  5. Step 5: Solve for x
    x = 92,776.18/263.32
  6. Step 6: Final answer
    x = 352.33

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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.