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Finding the Fourth Proportional to 189.01, 260.94 and 123.58

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Solution

The fourth proportional to 189.01, 260.94 and 123.58 is: 170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.01 : 260.94 = 123.58 : x
  2. Step 2: Convert to fraction form
    189.01/260.94 = 123.58/x
  3. Step 3: Cross multiply
    189.01x = 260.94 × 123.58
  4. Step 4: Simplify right side
    189.01x = 32,246.97
  5. Step 5: Solve for x
    x = 32,246.97/189.01
  6. Step 6: Final answer
    x = 170.61

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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.