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Finding the Fourth Proportional to 189.34, 261.23 and 140.13

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Solution

The fourth proportional to 189.34, 261.23 and 140.13 is: 193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 261.23 = 140.13 : x
  2. Step 2: Convert to fraction form
    189.34/261.23 = 140.13/x
  3. Step 3: Cross multiply
    189.34x = 261.23 × 140.13
  4. Step 4: Simplify right side
    189.34x = 36,605.46
  5. Step 5: Solve for x
    x = 36,605.46/189.34
  6. Step 6: Final answer
    x = 193.33

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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.