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Finding the Fourth Proportional to 148.29, 221.23 and 128.04

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Solution

The fourth proportional to 148.29, 221.23 and 128.04 is: 191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.29 : 221.23 = 128.04 : x
  2. Step 2: Convert to fraction form
    148.29/221.23 = 128.04/x
  3. Step 3: Cross multiply
    148.29x = 221.23 × 128.04
  4. Step 4: Simplify right side
    148.29x = 28,326.29
  5. Step 5: Solve for x
    x = 28,326.29/148.29
  6. Step 6: Final answer
    x = 191.02

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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.