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Finding the Fourth Proportional to 147.78, 221.58 and 119.09

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Solution

The fourth proportional to 147.78, 221.58 and 119.09 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 221.58 = 119.09 : x
  2. Step 2: Convert to fraction form
    147.78/221.58 = 119.09/x
  3. Step 3: Cross multiply
    147.78x = 221.58 × 119.09
  4. Step 4: Simplify right side
    147.78x = 26,386.85
  5. Step 5: Solve for x
    x = 26,386.85/147.78
  6. Step 6: Final answer
    x = 178.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.