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Finding the Fourth Proportional to 263.53, 363.68 and 153.03

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Solution

The fourth proportional to 263.53, 363.68 and 153.03 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.53 : 363.68 = 153.03 : x
  2. Step 2: Convert to fraction form
    263.53/363.68 = 153.03/x
  3. Step 3: Cross multiply
    263.53x = 363.68 × 153.03
  4. Step 4: Simplify right side
    263.53x = 55,653.95
  5. Step 5: Solve for x
    x = 55,653.95/263.53
  6. Step 6: Final answer
    x = 211.19

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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.