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Finding the Fourth Proportional to 263.13, 363.06 and 164.86

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Solution

The fourth proportional to 263.13, 363.06 and 164.86 is: 227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.13 : 363.06 = 164.86 : x
  2. Step 2: Convert to fraction form
    263.13/363.06 = 164.86/x
  3. Step 3: Cross multiply
    263.13x = 363.06 × 164.86
  4. Step 4: Simplify right side
    263.13x = 59,854.07
  5. Step 5: Solve for x
    x = 59,854.07/263.13
  6. Step 6: Final answer
    x = 227.47

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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.