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Finding the Fourth Proportional to 213.51, 320.34 and 76.56

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Solution

The fourth proportional to 213.51, 320.34 and 76.56 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.51 : 320.34 = 76.56 : x
  2. Step 2: Convert to fraction form
    213.51/320.34 = 76.56/x
  3. Step 3: Cross multiply
    213.51x = 320.34 × 76.56
  4. Step 4: Simplify right side
    213.51x = 24,525.23
  5. Step 5: Solve for x
    x = 24,525.23/213.51
  6. Step 6: Final answer
    x = 114.87

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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.