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Finding the Fourth Proportional to 361.50, 498.96 and 206.34

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Solution

The fourth proportional to 361.50, 498.96 and 206.34 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.50 : 498.96 = 206.34 : x
  2. Step 2: Convert to fraction form
    361.50/498.96 = 206.34/x
  3. Step 3: Cross multiply
    361.50x = 498.96 × 206.34
  4. Step 4: Simplify right side
    361.50x = 102,955.41
  5. Step 5: Solve for x
    x = 102,955.41/361.50
  6. Step 6: Final answer
    x = 284.80

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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.