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Finding the Fourth Proportional to 364.18, 502.62 and 216.82

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Solution

The fourth proportional to 364.18, 502.62 and 216.82 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.18 : 502.62 = 216.82 : x
  2. Step 2: Convert to fraction form
    364.18/502.62 = 216.82/x
  3. Step 3: Cross multiply
    364.18x = 502.62 × 216.82
  4. Step 4: Simplify right side
    364.18x = 108,976.93
  5. Step 5: Solve for x
    x = 108,976.93/364.18
  6. Step 6: Final answer
    x = 299.24

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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.