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Finding the Fourth Proportional to 169.45, 255.02 and 152.67

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Solution

The fourth proportional to 169.45, 255.02 and 152.67 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.45 : 255.02 = 152.67 : x
  2. Step 2: Convert to fraction form
    169.45/255.02 = 152.67/x
  3. Step 3: Cross multiply
    169.45x = 255.02 × 152.67
  4. Step 4: Simplify right side
    169.45x = 38,933.90
  5. Step 5: Solve for x
    x = 38,933.90/169.45
  6. Step 6: Final answer
    x = 229.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.