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Finding the Fourth Proportional to 214.47, 295.52 and 206.78

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Solution

The fourth proportional to 214.47, 295.52 and 206.78 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.47 : 295.52 = 206.78 : x
  2. Step 2: Convert to fraction form
    214.47/295.52 = 206.78/x
  3. Step 3: Cross multiply
    214.47x = 295.52 × 206.78
  4. Step 4: Simplify right side
    214.47x = 61,105.11
  5. Step 5: Solve for x
    x = 61,105.11/214.47
  6. Step 6: Final answer
    x = 284.91

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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.