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Finding the Fourth Proportional to 358.25, 537.36 and 204.24

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Solution

The fourth proportional to 358.25, 537.36 and 204.24 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.25 : 537.36 = 204.24 : x
  2. Step 2: Convert to fraction form
    358.25/537.36 = 204.24/x
  3. Step 3: Cross multiply
    358.25x = 537.36 × 204.24
  4. Step 4: Simplify right side
    358.25x = 109,750.41
  5. Step 5: Solve for x
    x = 109,750.41/358.25
  6. Step 6: Final answer
    x = 306.36

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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.