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Finding the Fourth Proportional to 215.90, 297.79 and 208.76

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Solution

The fourth proportional to 215.90, 297.79 and 208.76 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 297.79 = 208.76 : x
  2. Step 2: Convert to fraction form
    215.90/297.79 = 208.76/x
  3. Step 3: Cross multiply
    215.90x = 297.79 × 208.76
  4. Step 4: Simplify right side
    215.90x = 62,166.86
  5. Step 5: Solve for x
    x = 62,166.86/215.90
  6. Step 6: Final answer
    x = 287.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.