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Finding the Fourth Proportional to 358.84, 537.81 and 204.85

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Solution

The fourth proportional to 358.84, 537.81 and 204.85 is: 307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.84 : 537.81 = 204.85 : x
  2. Step 2: Convert to fraction form
    358.84/537.81 = 204.85/x
  3. Step 3: Cross multiply
    358.84x = 537.81 × 204.85
  4. Step 4: Simplify right side
    358.84x = 110,170.38
  5. Step 5: Solve for x
    x = 110,170.38/358.84
  6. Step 6: Final answer
    x = 307.02

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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.