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Finding the Fourth Proportional to 218.87, 302.04 and 120.63

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Solution

The fourth proportional to 218.87, 302.04 and 120.63 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.87 : 302.04 = 120.63 : x
  2. Step 2: Convert to fraction form
    218.87/302.04 = 120.63/x
  3. Step 3: Cross multiply
    218.87x = 302.04 × 120.63
  4. Step 4: Simplify right side
    218.87x = 36,435.09
  5. Step 5: Solve for x
    x = 36,435.09/218.87
  6. Step 6: Final answer
    x = 166.47

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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.