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Finding the Fourth Proportional to 364.16, 502.24 and 225.92

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Solution

The fourth proportional to 364.16, 502.24 and 225.92 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 502.24 = 225.92 : x
  2. Step 2: Convert to fraction form
    364.16/502.24 = 225.92/x
  3. Step 3: Cross multiply
    364.16x = 502.24 × 225.92
  4. Step 4: Simplify right side
    364.16x = 113,466.06
  5. Step 5: Solve for x
    x = 113,466.06/364.16
  6. Step 6: Final answer
    x = 311.58

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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.