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Finding the Fourth Proportional to 224, 308.70 and 206.60

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Solution

The fourth proportional to 224, 308.70 and 206.60 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 308.70 = 206.60 : x
  2. Step 2: Convert to fraction form
    224/308.70 = 206.60/x
  3. Step 3: Cross multiply
    224x = 308.70 × 206.60
  4. Step 4: Simplify right side
    224x = 63,777.42
  5. Step 5: Solve for x
    x = 63,777.42/224
  6. Step 6: Final answer
    x = 284.72

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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.