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Finding the Fourth Proportional to 218.32, 301.26 and 120.06

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Solution

The fourth proportional to 218.32, 301.26 and 120.06 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 301.26 = 120.06 : x
  2. Step 2: Convert to fraction form
    218.32/301.26 = 120.06/x
  3. Step 3: Cross multiply
    218.32x = 301.26 × 120.06
  4. Step 4: Simplify right side
    218.32x = 36,169.28
  5. Step 5: Solve for x
    x = 36,169.28/218.32
  6. Step 6: Final answer
    x = 165.67

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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.