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Finding the Fourth Proportional to 212.78, 293.66 and 119.53

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Solution

The fourth proportional to 212.78, 293.66 and 119.53 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.78 : 293.66 = 119.53 : x
  2. Step 2: Convert to fraction form
    212.78/293.66 = 119.53/x
  3. Step 3: Cross multiply
    212.78x = 293.66 × 119.53
  4. Step 4: Simplify right side
    212.78x = 35,101.95
  5. Step 5: Solve for x
    x = 35,101.95/212.78
  6. Step 6: Final answer
    x = 164.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.