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Finding the Fourth Proportional to 358.32, 537.16 and 206

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Solution

The fourth proportional to 358.32, 537.16 and 206 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.32 : 537.16 = 206 : x
  2. Step 2: Convert to fraction form
    358.32/537.16 = 206/x
  3. Step 3: Cross multiply
    358.32x = 537.16 × 206
  4. Step 4: Simplify right side
    358.32x = 110,654.96
  5. Step 5: Solve for x
    x = 110,654.96/358.32
  6. Step 6: Final answer
    x = 308.82

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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.