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Finding the Fourth Proportional to 248.67, 372.60 and 208.17

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Solution

The fourth proportional to 248.67, 372.60 and 208.17 is: 311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.67 : 372.60 = 208.17 : x
  2. Step 2: Convert to fraction form
    248.67/372.60 = 208.17/x
  3. Step 3: Cross multiply
    248.67x = 372.60 × 208.17
  4. Step 4: Simplify right side
    248.67x = 77,564.14
  5. Step 5: Solve for x
    x = 77,564.14/248.67
  6. Step 6: Final answer
    x = 311.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.