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Finding the Fourth Proportional to 189.14, 260.72 and 147.62

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Solution

The fourth proportional to 189.14, 260.72 and 147.62 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 260.72 = 147.62 : x
  2. Step 2: Convert to fraction form
    189.14/260.72 = 147.62/x
  3. Step 3: Cross multiply
    189.14x = 260.72 × 147.62
  4. Step 4: Simplify right side
    189.14x = 38,487.95
  5. Step 5: Solve for x
    x = 38,487.95/189.14
  6. Step 6: Final answer
    x = 203.49

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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.