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Finding the Fourth Proportional to 189.96, 261.97 and 153.10

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Solution

The fourth proportional to 189.96, 261.97 and 153.10 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 261.97 = 153.10 : x
  2. Step 2: Convert to fraction form
    189.96/261.97 = 153.10/x
  3. Step 3: Cross multiply
    189.96x = 261.97 × 153.10
  4. Step 4: Simplify right side
    189.96x = 40,107.61
  5. Step 5: Solve for x
    x = 40,107.61/189.96
  6. Step 6: Final answer
    x = 211.14

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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.