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Finding the Fourth Proportional to 215.58, 296.82 and 182.76

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Solution

The fourth proportional to 215.58, 296.82 and 182.76 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.58 : 296.82 = 182.76 : x
  2. Step 2: Convert to fraction form
    215.58/296.82 = 182.76/x
  3. Step 3: Cross multiply
    215.58x = 296.82 × 182.76
  4. Step 4: Simplify right side
    215.58x = 54,246.82
  5. Step 5: Solve for x
    x = 54,246.82/215.58
  6. Step 6: Final answer
    x = 251.63

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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.