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Finding the Fourth Proportional to 358.17, 537.39 and 165.75

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Solution

The fourth proportional to 358.17, 537.39 and 165.75 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.17 : 537.39 = 165.75 : x
  2. Step 2: Convert to fraction form
    358.17/537.39 = 165.75/x
  3. Step 3: Cross multiply
    358.17x = 537.39 × 165.75
  4. Step 4: Simplify right side
    358.17x = 89,072.39
  5. Step 5: Solve for x
    x = 89,072.39/358.17
  6. Step 6: Final answer
    x = 248.69

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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.