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Finding the Fourth Proportional to 263.60, 395.80 and 209.96

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Solution

The fourth proportional to 263.60, 395.80 and 209.96 is: 315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 395.80 = 209.96 : x
  2. Step 2: Convert to fraction form
    263.60/395.80 = 209.96/x
  3. Step 3: Cross multiply
    263.60x = 395.80 × 209.96
  4. Step 4: Simplify right side
    263.60x = 83,102.17
  5. Step 5: Solve for x
    x = 83,102.17/263.60
  6. Step 6: Final answer
    x = 315.26

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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.