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Finding the Fourth Proportional to 358.08, 537.01 and 138.68

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Solution

The fourth proportional to 358.08, 537.01 and 138.68 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.08 : 537.01 = 138.68 : x
  2. Step 2: Convert to fraction form
    358.08/537.01 = 138.68/x
  3. Step 3: Cross multiply
    358.08x = 537.01 × 138.68
  4. Step 4: Simplify right side
    358.08x = 74,474.55
  5. Step 5: Solve for x
    x = 74,474.55/358.08
  6. Step 6: Final answer
    x = 207.99

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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.