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Finding the Fourth Proportional to 220.24, 303.80 and 141.52

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Solution

The fourth proportional to 220.24, 303.80 and 141.52 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 303.80 = 141.52 : x
  2. Step 2: Convert to fraction form
    220.24/303.80 = 141.52/x
  3. Step 3: Cross multiply
    220.24x = 303.80 × 141.52
  4. Step 4: Simplify right side
    220.24x = 42,993.78
  5. Step 5: Solve for x
    x = 42,993.78/220.24
  6. Step 6: Final answer
    x = 195.21

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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.