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Finding the Fourth Proportional to 263.59, 363.78 and 153.10

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Solution

The fourth proportional to 263.59, 363.78 and 153.10 is: 211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.59 : 363.78 = 153.10 : x
  2. Step 2: Convert to fraction form
    263.59/363.78 = 153.10/x
  3. Step 3: Cross multiply
    263.59x = 363.78 × 153.10
  4. Step 4: Simplify right side
    263.59x = 55,694.72
  5. Step 5: Solve for x
    x = 55,694.72/263.59
  6. Step 6: Final answer
    x = 211.29

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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.