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Finding the Fourth Proportional to 213.50, 294.62 and 120.23

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Solution

The fourth proportional to 213.50, 294.62 and 120.23 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 294.62 = 120.23 : x
  2. Step 2: Convert to fraction form
    213.50/294.62 = 120.23/x
  3. Step 3: Cross multiply
    213.50x = 294.62 × 120.23
  4. Step 4: Simplify right side
    213.50x = 35,423.53
  5. Step 5: Solve for x
    x = 35,423.53/213.50
  6. Step 6: Final answer
    x = 165.92

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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.