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Finding the Fourth Proportional to 189.74, 262.07 and 160.33

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Solution

The fourth proportional to 189.74, 262.07 and 160.33 is: 221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.74 : 262.07 = 160.33 : x
  2. Step 2: Convert to fraction form
    189.74/262.07 = 160.33/x
  3. Step 3: Cross multiply
    189.74x = 262.07 × 160.33
  4. Step 4: Simplify right side
    189.74x = 42,017.68
  5. Step 5: Solve for x
    x = 42,017.68/189.74
  6. Step 6: Final answer
    x = 221.45

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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.