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Finding the Fourth Proportional to 214.32, 294.48 and 204.78

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Solution

The fourth proportional to 214.32, 294.48 and 204.78 is: 281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 294.48 = 204.78 : x
  2. Step 2: Convert to fraction form
    214.32/294.48 = 204.78/x
  3. Step 3: Cross multiply
    214.32x = 294.48 × 204.78
  4. Step 4: Simplify right side
    214.32x = 60,303.61
  5. Step 5: Solve for x
    x = 60,303.61/214.32
  6. Step 6: Final answer
    x = 281.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.