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Finding the Fourth Proportional to 218.95, 302.13 and 120.69

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Solution

The fourth proportional to 218.95, 302.13 and 120.69 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.95 : 302.13 = 120.69 : x
  2. Step 2: Convert to fraction form
    218.95/302.13 = 120.69/x
  3. Step 3: Cross multiply
    218.95x = 302.13 × 120.69
  4. Step 4: Simplify right side
    218.95x = 36,464.07
  5. Step 5: Solve for x
    x = 36,464.07/218.95
  6. Step 6: Final answer
    x = 166.54

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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.