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Finding the Fourth Proportional to 358.14, 537.29 and 204.14

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Solution

The fourth proportional to 358.14, 537.29 and 204.14 is: 306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 537.29 = 204.14 : x
  2. Step 2: Convert to fraction form
    358.14/537.29 = 204.14/x
  3. Step 3: Cross multiply
    358.14x = 537.29 × 204.14
  4. Step 4: Simplify right side
    358.14x = 109,682.38
  5. Step 5: Solve for x
    x = 109,682.38/358.14
  6. Step 6: Final answer
    x = 306.26

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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.