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Finding the Fourth Proportional to 208.86, 288.28 and 199.10

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Solution

The fourth proportional to 208.86, 288.28 and 199.10 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 288.28 = 199.10 : x
  2. Step 2: Convert to fraction form
    208.86/288.28 = 199.10/x
  3. Step 3: Cross multiply
    208.86x = 288.28 × 199.10
  4. Step 4: Simplify right side
    208.86x = 57,394.11
  5. Step 5: Solve for x
    x = 57,394.11/208.86
  6. Step 6: Final answer
    x = 274.80

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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.