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Finding the Fourth Proportional to 361.16, 498.38 and 211.80

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Solution

The fourth proportional to 361.16, 498.38 and 211.80 is: 292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.16 : 498.38 = 211.80 : x
  2. Step 2: Convert to fraction form
    361.16/498.38 = 211.80/x
  3. Step 3: Cross multiply
    361.16x = 498.38 × 211.80
  4. Step 4: Simplify right side
    361.16x = 105,555.83
  5. Step 5: Solve for x
    x = 105,555.83/361.16
  6. Step 6: Final answer
    x = 292.27

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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.