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Finding the Fourth Proportional to 188.66, 260.23 and 123.16

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Solution

The fourth proportional to 188.66, 260.23 and 123.16 is: 169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.66 : 260.23 = 123.16 : x
  2. Step 2: Convert to fraction form
    188.66/260.23 = 123.16/x
  3. Step 3: Cross multiply
    188.66x = 260.23 × 123.16
  4. Step 4: Simplify right side
    188.66x = 32,049.69
  5. Step 5: Solve for x
    x = 32,049.69/188.66
  6. Step 6: Final answer
    x = 169.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.