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Finding the Fourth Proportional to 244.32, 367.94 and 214.24

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Solution

The fourth proportional to 244.32, 367.94 and 214.24 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.32 : 367.94 = 214.24 : x
  2. Step 2: Convert to fraction form
    244.32/367.94 = 214.24/x
  3. Step 3: Cross multiply
    244.32x = 367.94 × 214.24
  4. Step 4: Simplify right side
    244.32x = 78,827.47
  5. Step 5: Solve for x
    x = 78,827.47/244.32
  6. Step 6: Final answer
    x = 322.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.