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Finding the Fourth Proportional to 291.58, 402.12 and 208.96

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Solution

The fourth proportional to 291.58, 402.12 and 208.96 is: 288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.58 : 402.12 = 208.96 : x
  2. Step 2: Convert to fraction form
    291.58/402.12 = 208.96/x
  3. Step 3: Cross multiply
    291.58x = 402.12 × 208.96
  4. Step 4: Simplify right side
    291.58x = 84,027.00
  5. Step 5: Solve for x
    x = 84,027.00/291.58
  6. Step 6: Final answer
    x = 288.18

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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.