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Finding the Fourth Proportional to 189.24, 260.80 and 149.80

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Solution

The fourth proportional to 189.24, 260.80 and 149.80 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 260.80 = 149.80 : x
  2. Step 2: Convert to fraction form
    189.24/260.80 = 149.80/x
  3. Step 3: Cross multiply
    189.24x = 260.80 × 149.80
  4. Step 4: Simplify right side
    189.24x = 39,067.84
  5. Step 5: Solve for x
    x = 39,067.84/189.24
  6. Step 6: Final answer
    x = 206.45

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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.