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Finding the Fourth Proportional to 189.27, 260.96 and 147.35

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Solution

The fourth proportional to 189.27, 260.96 and 147.35 is: 203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.27 : 260.96 = 147.35 : x
  2. Step 2: Convert to fraction form
    189.27/260.96 = 147.35/x
  3. Step 3: Cross multiply
    189.27x = 260.96 × 147.35
  4. Step 4: Simplify right side
    189.27x = 38,452.37
  5. Step 5: Solve for x
    x = 38,452.37/189.27
  6. Step 6: Final answer
    x = 203.16

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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.