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Finding the Fourth Proportional to 218.74, 328.13 and 161.67

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Solution

The fourth proportional to 218.74, 328.13 and 161.67 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 328.13 = 161.67 : x
  2. Step 2: Convert to fraction form
    218.74/328.13 = 161.67/x
  3. Step 3: Cross multiply
    218.74x = 328.13 × 161.67
  4. Step 4: Simplify right side
    218.74x = 53,048.58
  5. Step 5: Solve for x
    x = 53,048.58/218.74
  6. Step 6: Final answer
    x = 242.52

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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.