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Finding the Fourth Proportional to 148.04, 221.03 and 133.46

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Solution

The fourth proportional to 148.04, 221.03 and 133.46 is: 199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.04 : 221.03 = 133.46 : x
  2. Step 2: Convert to fraction form
    148.04/221.03 = 133.46/x
  3. Step 3: Cross multiply
    148.04x = 221.03 × 133.46
  4. Step 4: Simplify right side
    148.04x = 29,499.55
  5. Step 5: Solve for x
    x = 29,499.55/148.04
  6. Step 6: Final answer
    x = 199.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.