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Finding the Fourth Proportional to 189.72, 258.24 and 189.20

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Solution

The fourth proportional to 189.72, 258.24 and 189.20 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 258.24 = 189.20 : x
  2. Step 2: Convert to fraction form
    189.72/258.24 = 189.20/x
  3. Step 3: Cross multiply
    189.72x = 258.24 × 189.20
  4. Step 4: Simplify right side
    189.72x = 48,859.01
  5. Step 5: Solve for x
    x = 48,859.01/189.72
  6. Step 6: Final answer
    x = 257.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.