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Finding the Fourth Proportional to 189.03, 260.75 and 123.54

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Solution

The fourth proportional to 189.03, 260.75 and 123.54 is: 170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.03 : 260.75 = 123.54 : x
  2. Step 2: Convert to fraction form
    189.03/260.75 = 123.54/x
  3. Step 3: Cross multiply
    189.03x = 260.75 × 123.54
  4. Step 4: Simplify right side
    189.03x = 32,211.46
  5. Step 5: Solve for x
    x = 32,211.46/189.03
  6. Step 6: Final answer
    x = 170.40

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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.