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Finding the Fourth Proportional to 263.76, 363.96 and 153.21

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Solution

The fourth proportional to 263.76, 363.96 and 153.21 is: 211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 363.96 = 153.21 : x
  2. Step 2: Convert to fraction form
    263.76/363.96 = 153.21/x
  3. Step 3: Cross multiply
    263.76x = 363.96 × 153.21
  4. Step 4: Simplify right side
    263.76x = 55,762.31
  5. Step 5: Solve for x
    x = 55,762.31/263.76
  6. Step 6: Final answer
    x = 211.41

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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.