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Finding the Fourth Proportional to 252.79, 348.01 and 208.60

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Solution

The fourth proportional to 252.79, 348.01 and 208.60 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.79 : 348.01 = 208.60 : x
  2. Step 2: Convert to fraction form
    252.79/348.01 = 208.60/x
  3. Step 3: Cross multiply
    252.79x = 348.01 × 208.60
  4. Step 4: Simplify right side
    252.79x = 72,594.89
  5. Step 5: Solve for x
    x = 72,594.89/252.79
  6. Step 6: Final answer
    x = 287.17

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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.