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Finding the Fourth Proportional to 263.50, 363.64 and 160

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Solution

The fourth proportional to 263.50, 363.64 and 160 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.50 : 363.64 = 160 : x
  2. Step 2: Convert to fraction form
    263.50/363.64 = 160/x
  3. Step 3: Cross multiply
    263.50x = 363.64 × 160
  4. Step 4: Simplify right side
    263.50x = 58,182.40
  5. Step 5: Solve for x
    x = 58,182.40/263.50
  6. Step 6: Final answer
    x = 220.81

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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.