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Finding the Fourth Proportional to 214.03, 295.46 and 205.74

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Solution

The fourth proportional to 214.03, 295.46 and 205.74 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 295.46 = 205.74 : x
  2. Step 2: Convert to fraction form
    214.03/295.46 = 205.74/x
  3. Step 3: Cross multiply
    214.03x = 295.46 × 205.74
  4. Step 4: Simplify right side
    214.03x = 60,787.94
  5. Step 5: Solve for x
    x = 60,787.94/214.03
  6. Step 6: Final answer
    x = 284.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.