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Finding the Fourth Proportional to 263.16, 394.36 and 147.66

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Solution

The fourth proportional to 263.16, 394.36 and 147.66 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.16 : 394.36 = 147.66 : x
  2. Step 2: Convert to fraction form
    263.16/394.36 = 147.66/x
  3. Step 3: Cross multiply
    263.16x = 394.36 × 147.66
  4. Step 4: Simplify right side
    263.16x = 58,231.20
  5. Step 5: Solve for x
    x = 58,231.20/263.16
  6. Step 6: Final answer
    x = 221.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.