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Finding the Fourth Proportional to 214.34, 319.21 and 210.65

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Solution

The fourth proportional to 214.34, 319.21 and 210.65 is: 313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 319.21 = 210.65 : x
  2. Step 2: Convert to fraction form
    214.34/319.21 = 210.65/x
  3. Step 3: Cross multiply
    214.34x = 319.21 × 210.65
  4. Step 4: Simplify right side
    214.34x = 67,241.59
  5. Step 5: Solve for x
    x = 67,241.59/214.34
  6. Step 6: Final answer
    x = 313.71

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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.