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Finding the Fourth Proportional to 218.02, 300.84 and 119.75

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Solution

The fourth proportional to 218.02, 300.84 and 119.75 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.02 : 300.84 = 119.75 : x
  2. Step 2: Convert to fraction form
    218.02/300.84 = 119.75/x
  3. Step 3: Cross multiply
    218.02x = 300.84 × 119.75
  4. Step 4: Simplify right side
    218.02x = 36,026.51
  5. Step 5: Solve for x
    x = 36,026.51/218.02
  6. Step 6: Final answer
    x = 165.25

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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.