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Finding the Fourth Proportional to 220.31, 303.80 and 148.30

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Solution

The fourth proportional to 220.31, 303.80 and 148.30 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.31 : 303.80 = 148.30 : x
  2. Step 2: Convert to fraction form
    220.31/303.80 = 148.30/x
  3. Step 3: Cross multiply
    220.31x = 303.80 × 148.30
  4. Step 4: Simplify right side
    220.31x = 45,054.78
  5. Step 5: Solve for x
    x = 45,054.78/220.31
  6. Step 6: Final answer
    x = 204.51

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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.