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Finding the Fourth Proportional to 166.43, 229.67 and 152.66

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Solution

The fourth proportional to 166.43, 229.67 and 152.66 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.43 : 229.67 = 152.66 : x
  2. Step 2: Convert to fraction form
    166.43/229.67 = 152.66/x
  3. Step 3: Cross multiply
    166.43x = 229.67 × 152.66
  4. Step 4: Simplify right side
    166.43x = 35,061.81
  5. Step 5: Solve for x
    x = 35,061.81/166.43
  6. Step 6: Final answer
    x = 210.67

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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.