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Finding the Fourth Proportional to 252.69, 349.16 and 208.95

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Solution

The fourth proportional to 252.69, 349.16 and 208.95 is: 288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.69 : 349.16 = 208.95 : x
  2. Step 2: Convert to fraction form
    252.69/349.16 = 208.95/x
  3. Step 3: Cross multiply
    252.69x = 349.16 × 208.95
  4. Step 4: Simplify right side
    252.69x = 72,955.94
  5. Step 5: Solve for x
    x = 72,955.94/252.69
  6. Step 6: Final answer
    x = 288.72

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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.