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Finding the Fourth Proportional to 361.60, 498.83 and 214.14

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Solution

The fourth proportional to 361.60, 498.83 and 214.14 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.60 : 498.83 = 214.14 : x
  2. Step 2: Convert to fraction form
    361.60/498.83 = 214.14/x
  3. Step 3: Cross multiply
    361.60x = 498.83 × 214.14
  4. Step 4: Simplify right side
    361.60x = 106,819.46
  5. Step 5: Solve for x
    x = 106,819.46/361.60
  6. Step 6: Final answer
    x = 295.41

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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.