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Finding the Fourth Proportional to 358.17, 537.75 and 204.21

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Solution

The fourth proportional to 358.17, 537.75 and 204.21 is: 306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.17 : 537.75 = 204.21 : x
  2. Step 2: Convert to fraction form
    358.17/537.75 = 204.21/x
  3. Step 3: Cross multiply
    358.17x = 537.75 × 204.21
  4. Step 4: Simplify right side
    358.17x = 109,813.93
  5. Step 5: Solve for x
    x = 109,813.93/358.17
  6. Step 6: Final answer
    x = 306.60

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