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Finding the Fourth Proportional to 263.66, 363.76 and 153.17

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Solution

The fourth proportional to 263.66, 363.76 and 153.17 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 363.76 = 153.17 : x
  2. Step 2: Convert to fraction form
    263.66/363.76 = 153.17/x
  3. Step 3: Cross multiply
    263.66x = 363.76 × 153.17
  4. Step 4: Simplify right side
    263.66x = 55,718.03
  5. Step 5: Solve for x
    x = 55,718.03/263.66
  6. Step 6: Final answer
    x = 211.33

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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.