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Finding the Fourth Proportional to 183.74, 276.86 and 151.96

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Solution

The fourth proportional to 183.74, 276.86 and 151.96 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 276.86 = 151.96 : x
  2. Step 2: Convert to fraction form
    183.74/276.86 = 151.96/x
  3. Step 3: Cross multiply
    183.74x = 276.86 × 151.96
  4. Step 4: Simplify right side
    183.74x = 42,070.65
  5. Step 5: Solve for x
    x = 42,070.65/183.74
  6. Step 6: Final answer
    x = 228.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.