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Finding the Fourth Proportional to 220.13, 303.83 and 158.03

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Solution

The fourth proportional to 220.13, 303.83 and 158.03 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 303.83 = 158.03 : x
  2. Step 2: Convert to fraction form
    220.13/303.83 = 158.03/x
  3. Step 3: Cross multiply
    220.13x = 303.83 × 158.03
  4. Step 4: Simplify right side
    220.13x = 48,015.41
  5. Step 5: Solve for x
    x = 48,015.41/220.13
  6. Step 6: Final answer
    x = 218.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.