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Finding the Fourth Proportional to 291.70, 402.06 and 208.68

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Solution

The fourth proportional to 291.70, 402.06 and 208.68 is: 287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.70 : 402.06 = 208.68 : x
  2. Step 2: Convert to fraction form
    291.70/402.06 = 208.68/x
  3. Step 3: Cross multiply
    291.70x = 402.06 × 208.68
  4. Step 4: Simplify right side
    291.70x = 83,901.88
  5. Step 5: Solve for x
    x = 83,901.88/291.70
  6. Step 6: Final answer
    x = 287.63

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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.