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Finding the Fourth Proportional to 151.94, 226.81 and 148.28

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Solution

The fourth proportional to 151.94, 226.81 and 148.28 is: 221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.94 : 226.81 = 148.28 : x
  2. Step 2: Convert to fraction form
    151.94/226.81 = 148.28/x
  3. Step 3: Cross multiply
    151.94x = 226.81 × 148.28
  4. Step 4: Simplify right side
    151.94x = 33,631.39
  5. Step 5: Solve for x
    x = 33,631.39/151.94
  6. Step 6: Final answer
    x = 221.35

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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.