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Finding the Fourth Proportional to 184.75, 276.10 and 148.51

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Solution

The fourth proportional to 184.75, 276.10 and 148.51 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.75 : 276.10 = 148.51 : x
  2. Step 2: Convert to fraction form
    184.75/276.10 = 148.51/x
  3. Step 3: Cross multiply
    184.75x = 276.10 × 148.51
  4. Step 4: Simplify right side
    184.75x = 41,003.61
  5. Step 5: Solve for x
    x = 41,003.61/184.75
  6. Step 6: Final answer
    x = 221.94

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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.