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Finding the Fourth Proportional to 213.29, 319.93 and 76.35

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Solution

The fourth proportional to 213.29, 319.93 and 76.35 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.29 : 319.93 = 76.35 : x
  2. Step 2: Convert to fraction form
    213.29/319.93 = 76.35/x
  3. Step 3: Cross multiply
    213.29x = 319.93 × 76.35
  4. Step 4: Simplify right side
    213.29x = 24,425.59
  5. Step 5: Solve for x
    x = 24,425.59/213.29
  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.