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Finding the Fourth Proportional to 250.92, 374.76 and 214.44

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Solution

The fourth proportional to 250.92, 374.76 and 214.44 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.92 : 374.76 = 214.44 : x
  2. Step 2: Convert to fraction form
    250.92/374.76 = 214.44/x
  3. Step 3: Cross multiply
    250.92x = 374.76 × 214.44
  4. Step 4: Simplify right side
    250.92x = 80,363.53
  5. Step 5: Solve for x
    x = 80,363.53/250.92
  6. Step 6: Final answer
    x = 320.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.