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Finding the Fourth Proportional to 213.40, 320 and 76.42

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Solution

The fourth proportional to 213.40, 320 and 76.42 is: 114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 320 = 76.42 : x
  2. Step 2: Convert to fraction form
    213.40/320 = 76.42/x
  3. Step 3: Cross multiply
    213.40x = 320 × 76.42
  4. Step 4: Simplify right side
    213.40x = 24,454.40
  5. Step 5: Solve for x
    x = 24,454.40/213.40
  6. Step 6: Final answer
    x = 114.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.