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Finding the Fourth Proportional to 147.33, 221.29 and 78.83

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Solution

The fourth proportional to 147.33, 221.29 and 78.83 is: 118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.33 : 221.29 = 78.83 : x
  2. Step 2: Convert to fraction form
    147.33/221.29 = 78.83/x
  3. Step 3: Cross multiply
    147.33x = 221.29 × 78.83
  4. Step 4: Simplify right side
    147.33x = 17,443.82
  5. Step 5: Solve for x
    x = 17,443.82/147.33
  6. Step 6: Final answer
    x = 118.40

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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.