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Finding the Fourth Proportional to 213.16, 319.84 and 76.32

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Solution

The fourth proportional to 213.16, 319.84 and 76.32 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.16 : 319.84 = 76.32 : x
  2. Step 2: Convert to fraction form
    213.16/319.84 = 76.32/x
  3. Step 3: Cross multiply
    213.16x = 319.84 × 76.32
  4. Step 4: Simplify right side
    213.16x = 24,410.19
  5. Step 5: Solve for x
    x = 24,410.19/213.16
  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.