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Finding the Fourth Proportional to 215.36, 322.34 and 184.95

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Solution

The fourth proportional to 215.36, 322.34 and 184.95 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.36 : 322.34 = 184.95 : x
  2. Step 2: Convert to fraction form
    215.36/322.34 = 184.95/x
  3. Step 3: Cross multiply
    215.36x = 322.34 × 184.95
  4. Step 4: Simplify right side
    215.36x = 59,616.78
  5. Step 5: Solve for x
    x = 59,616.78/215.36
  6. Step 6: Final answer
    x = 276.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.