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Finding the Fourth Proportional to 188.53, 259.70 and 163.92

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Solution

The fourth proportional to 188.53, 259.70 and 163.92 is: 225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.53 : 259.70 = 163.92 : x
  2. Step 2: Convert to fraction form
    188.53/259.70 = 163.92/x
  3. Step 3: Cross multiply
    188.53x = 259.70 × 163.92
  4. Step 4: Simplify right side
    188.53x = 42,570.61
  5. Step 5: Solve for x
    x = 42,570.61/188.53
  6. Step 6: Final answer
    x = 225.81

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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.