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Finding the Fourth Proportional to 151.97, 228.04 and 150.83

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Solution

The fourth proportional to 151.97, 228.04 and 150.83 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.97 : 228.04 = 150.83 : x
  2. Step 2: Convert to fraction form
    151.97/228.04 = 150.83/x
  3. Step 3: Cross multiply
    151.97x = 228.04 × 150.83
  4. Step 4: Simplify right side
    151.97x = 34,393.76
  5. Step 5: Solve for x
    x = 34,393.76/151.97
  6. Step 6: Final answer
    x = 226.32

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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.