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Finding the Fourth Proportional to 189.90, 261.81 and 160.74

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Solution

The fourth proportional to 189.90, 261.81 and 160.74 is: 221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 261.81 = 160.74 : x
  2. Step 2: Convert to fraction form
    189.90/261.81 = 160.74/x
  3. Step 3: Cross multiply
    189.90x = 261.81 × 160.74
  4. Step 4: Simplify right side
    189.90x = 42,083.34
  5. Step 5: Solve for x
    x = 42,083.34/189.90
  6. Step 6: Final answer
    x = 221.61

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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.