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Finding the Fourth Proportional to 213.30, 320.00 and 76.34

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Solution

The fourth proportional to 213.30, 320.00 and 76.34 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 320.00 = 76.34 : x
  2. Step 2: Convert to fraction form
    213.30/320.00 = 76.34/x
  3. Step 3: Cross multiply
    213.30x = 320.00 × 76.34
  4. Step 4: Simplify right side
    213.30x = 24,426.82
  5. Step 5: Solve for x
    x = 24,426.82/213.30
  6. Step 6: Final answer
    x = 114.52

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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.