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Finding the Fourth Proportional to 263.64, 395.12 and 148.03

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Solution

The fourth proportional to 263.64, 395.12 and 148.03 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 395.12 = 148.03 : x
  2. Step 2: Convert to fraction form
    263.64/395.12 = 148.03/x
  3. Step 3: Cross multiply
    263.64x = 395.12 × 148.03
  4. Step 4: Simplify right side
    263.64x = 58,489.61
  5. Step 5: Solve for x
    x = 58,489.61/263.64
  6. Step 6: Final answer
    x = 221.85

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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.