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Finding the Fourth Proportional to 358.03, 537.26 and 165.66

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Solution

The fourth proportional to 358.03, 537.26 and 165.66 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.03 : 537.26 = 165.66 : x
  2. Step 2: Convert to fraction form
    358.03/537.26 = 165.66/x
  3. Step 3: Cross multiply
    358.03x = 537.26 × 165.66
  4. Step 4: Simplify right side
    358.03x = 88,999.65
  5. Step 5: Solve for x
    x = 88,999.65/358.03
  6. Step 6: Final answer
    x = 248.58

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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.