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Finding the Fourth Proportional to 358.80, 537.92 and 166.40

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Solution

The fourth proportional to 358.80, 537.92 and 166.40 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 537.92 = 166.40 : x
  2. Step 2: Convert to fraction form
    358.80/537.92 = 166.40/x
  3. Step 3: Cross multiply
    358.80x = 537.92 × 166.40
  4. Step 4: Simplify right side
    358.80x = 89,509.89
  5. Step 5: Solve for x
    x = 89,509.89/358.80
  6. Step 6: Final answer
    x = 249.47

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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.