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Finding the Fourth Proportional to 189.21, 261.05 and 140.00

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Solution

The fourth proportional to 189.21, 261.05 and 140.00 is: 193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 261.05 = 140.00 : x
  2. Step 2: Convert to fraction form
    189.21/261.05 = 140.00/x
  3. Step 3: Cross multiply
    189.21x = 261.05 × 140.00
  4. Step 4: Simplify right side
    189.21x = 36,544.99
  5. Step 5: Solve for x
    x = 36,544.99/189.21
  6. Step 6: Final answer
    x = 193.15

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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.