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Finding the Fourth Proportional to 166.74, 229.88 and 160.07

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Solution

The fourth proportional to 166.74, 229.88 and 160.07 is: 220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.74 : 229.88 = 160.07 : x
  2. Step 2: Convert to fraction form
    166.74/229.88 = 160.07/x
  3. Step 3: Cross multiply
    166.74x = 229.88 × 160.07
  4. Step 4: Simplify right side
    166.74x = 36,794.94
  5. Step 5: Solve for x
    x = 36,794.94/166.74
  6. Step 6: Final answer
    x = 220.67

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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.