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Finding the Fourth Proportional to 358.68, 537.89 and 175.97

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Solution

The fourth proportional to 358.68, 537.89 and 175.97 is: 263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.68 : 537.89 = 175.97 : x
  2. Step 2: Convert to fraction form
    358.68/537.89 = 175.97/x
  3. Step 3: Cross multiply
    358.68x = 537.89 × 175.97
  4. Step 4: Simplify right side
    358.68x = 94,653.96
  5. Step 5: Solve for x
    x = 94,653.96/358.68
  6. Step 6: Final answer
    x = 263.90

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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.