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Finding the Fourth Proportional to 189.80, 261.72 and 146.24

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Solution

The fourth proportional to 189.80, 261.72 and 146.24 is: 201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.80 : 261.72 = 146.24 : x
  2. Step 2: Convert to fraction form
    189.80/261.72 = 146.24/x
  3. Step 3: Cross multiply
    189.80x = 261.72 × 146.24
  4. Step 4: Simplify right side
    189.80x = 38,273.93
  5. Step 5: Solve for x
    x = 38,273.93/189.80
  6. Step 6: Final answer
    x = 201.65

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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.