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Finding the Fourth Proportional to 361.32, 541.66 and 209

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Solution

The fourth proportional to 361.32, 541.66 and 209 is: 313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.32 : 541.66 = 209 : x
  2. Step 2: Convert to fraction form
    361.32/541.66 = 209/x
  3. Step 3: Cross multiply
    361.32x = 541.66 × 209
  4. Step 4: Simplify right side
    361.32x = 113,206.94
  5. Step 5: Solve for x
    x = 113,206.94/361.32
  6. Step 6: Final answer
    x = 313.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.