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Finding the Fourth Proportional to 214.32, 319.26 and 213.36

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Solution

The fourth proportional to 214.32, 319.26 and 213.36 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 319.26 = 213.36 : x
  2. Step 2: Convert to fraction form
    214.32/319.26 = 213.36/x
  3. Step 3: Cross multiply
    214.32x = 319.26 × 213.36
  4. Step 4: Simplify right side
    214.32x = 68,117.31
  5. Step 5: Solve for x
    x = 68,117.31/214.32
  6. Step 6: Final answer
    x = 317.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.