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Finding the Fourth Proportional to 189.03, 260.70 and 140.03

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Solution

The fourth proportional to 189.03, 260.70 and 140.03 is: 193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.03 : 260.70 = 140.03 : x
  2. Step 2: Convert to fraction form
    189.03/260.70 = 140.03/x
  3. Step 3: Cross multiply
    189.03x = 260.70 × 140.03
  4. Step 4: Simplify right side
    189.03x = 36,505.12
  5. Step 5: Solve for x
    x = 36,505.12/189.03
  6. Step 6: Final answer
    x = 193.12

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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.