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Finding the Fourth Proportional to 189.50, 261.49 and 106.58

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Solution

The fourth proportional to 189.50, 261.49 and 106.58 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 261.49 = 106.58 : x
  2. Step 2: Convert to fraction form
    189.50/261.49 = 106.58/x
  3. Step 3: Cross multiply
    189.50x = 261.49 × 106.58
  4. Step 4: Simplify right side
    189.50x = 27,869.60
  5. Step 5: Solve for x
    x = 27,869.60/189.50
  6. Step 6: Final answer
    x = 147.07

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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.