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Finding the Fourth Proportional to 354.69, 532.18 and 159.64

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Solution

The fourth proportional to 354.69, 532.18 and 159.64 is: 239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.69 : 532.18 = 159.64 : x
  2. Step 2: Convert to fraction form
    354.69/532.18 = 159.64/x
  3. Step 3: Cross multiply
    354.69x = 532.18 × 159.64
  4. Step 4: Simplify right side
    354.69x = 84,956.08
  5. Step 5: Solve for x
    x = 84,956.08/354.69
  6. Step 6: Final answer
    x = 239.52

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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.