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Finding the Fourth Proportional to 361.57, 498.98 and 214.33

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Solution

The fourth proportional to 361.57, 498.98 and 214.33 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.57 : 498.98 = 214.33 : x
  2. Step 2: Convert to fraction form
    361.57/498.98 = 214.33/x
  3. Step 3: Cross multiply
    361.57x = 498.98 × 214.33
  4. Step 4: Simplify right side
    361.57x = 106,946.38
  5. Step 5: Solve for x
    x = 106,946.38/361.57
  6. Step 6: Final answer
    x = 295.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.