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Finding the Fourth Proportional to 188.36, 260.12 and 123.02

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Solution

The fourth proportional to 188.36, 260.12 and 123.02 is: 169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 260.12 = 123.02 : x
  2. Step 2: Convert to fraction form
    188.36/260.12 = 123.02/x
  3. Step 3: Cross multiply
    188.36x = 260.12 × 123.02
  4. Step 4: Simplify right side
    188.36x = 31,999.35
  5. Step 5: Solve for x
    x = 31,999.35/188.36
  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.