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Finding the Fourth Proportional to 212.75, 293.59 and 119.50

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Solution

The fourth proportional to 212.75, 293.59 and 119.50 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.75 : 293.59 = 119.50 : x
  2. Step 2: Convert to fraction form
    212.75/293.59 = 119.50/x
  3. Step 3: Cross multiply
    212.75x = 293.59 × 119.50
  4. Step 4: Simplify right side
    212.75x = 35,082.84
  5. Step 5: Solve for x
    x = 35,082.84/212.75
  6. Step 6: Final answer
    x = 164.90

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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.