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Finding the Fourth Proportional to 188.53, 260.22 and 118.63

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Solution

The fourth proportional to 188.53, 260.22 and 118.63 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.53 : 260.22 = 118.63 : x
  2. Step 2: Convert to fraction form
    188.53/260.22 = 118.63/x
  3. Step 3: Cross multiply
    188.53x = 260.22 × 118.63
  4. Step 4: Simplify right side
    188.53x = 30,870.63
  5. Step 5: Solve for x
    x = 30,870.63/188.53
  6. Step 6: Final answer
    x = 163.74

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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.