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Finding the Fourth Proportional to 213.30, 294.37 and 120.04

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Solution

The fourth proportional to 213.30, 294.37 and 120.04 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 294.37 = 120.04 : x
  2. Step 2: Convert to fraction form
    213.30/294.37 = 120.04/x
  3. Step 3: Cross multiply
    213.30x = 294.37 × 120.04
  4. Step 4: Simplify right side
    213.30x = 35,336.17
  5. Step 5: Solve for x
    x = 35,336.17/213.30
  6. Step 6: Final answer
    x = 165.66

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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.