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Finding the Fourth Proportional to 251.03, 345.62 and 206.84

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Solution

The fourth proportional to 251.03, 345.62 and 206.84 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.03 : 345.62 = 206.84 : x
  2. Step 2: Convert to fraction form
    251.03/345.62 = 206.84/x
  3. Step 3: Cross multiply
    251.03x = 345.62 × 206.84
  4. Step 4: Simplify right side
    251.03x = 71,485.28
  5. Step 5: Solve for x
    x = 71,485.28/251.03
  6. Step 6: Final answer
    x = 284.77

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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.