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Finding the Fourth Proportional to 213.56, 294.74 and 120.32

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Solution

The fourth proportional to 213.56, 294.74 and 120.32 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.56 : 294.74 = 120.32 : x
  2. Step 2: Convert to fraction form
    213.56/294.74 = 120.32/x
  3. Step 3: Cross multiply
    213.56x = 294.74 × 120.32
  4. Step 4: Simplify right side
    213.56x = 35,462.31
  5. Step 5: Solve for x
    x = 35,462.31/213.56
  6. Step 6: Final answer
    x = 166.06

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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.