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Finding the Fourth Proportional to 213.74, 320.63 and 76.77

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Solution

The fourth proportional to 213.74, 320.63 and 76.77 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 320.63 = 76.77 : x
  2. Step 2: Convert to fraction form
    213.74/320.63 = 76.77/x
  3. Step 3: Cross multiply
    213.74x = 320.63 × 76.77
  4. Step 4: Simplify right side
    213.74x = 24,614.38
  5. Step 5: Solve for x
    x = 24,614.38/213.74
  6. Step 6: Final answer
    x = 115.16

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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.