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Finding the Fourth Proportional to 214.94, 320.32 and 205.76

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Solution

The fourth proportional to 214.94, 320.32 and 205.76 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 320.32 = 205.76 : x
  2. Step 2: Convert to fraction form
    214.94/320.32 = 205.76/x
  3. Step 3: Cross multiply
    214.94x = 320.32 × 205.76
  4. Step 4: Simplify right side
    214.94x = 65,909.04
  5. Step 5: Solve for x
    x = 65,909.04/214.94
  6. Step 6: Final answer
    x = 306.64

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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.