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Finding the Fourth Proportional to 188.56, 260.31 and 123.10

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Solution

The fourth proportional to 188.56, 260.31 and 123.10 is: 169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.56 : 260.31 = 123.10 : x
  2. Step 2: Convert to fraction form
    188.56/260.31 = 123.10/x
  3. Step 3: Cross multiply
    188.56x = 260.31 × 123.10
  4. Step 4: Simplify right side
    188.56x = 32,044.16
  5. Step 5: Solve for x
    x = 32,044.16/188.56
  6. Step 6: Final answer
    x = 169.94

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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.