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Finding the Fourth Proportional to 147.93, 222.05 and 120.82

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Solution

The fourth proportional to 147.93, 222.05 and 120.82 is: 181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 222.05 = 120.82 : x
  2. Step 2: Convert to fraction form
    147.93/222.05 = 120.82/x
  3. Step 3: Cross multiply
    147.93x = 222.05 × 120.82
  4. Step 4: Simplify right side
    147.93x = 26,828.08
  5. Step 5: Solve for x
    x = 26,828.08/147.93
  6. Step 6: Final answer
    x = 181.36

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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.