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Finding the Fourth Proportional to 349.98, 524.78 and 106.44

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Solution

The fourth proportional to 349.98, 524.78 and 106.44 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.98 : 524.78 = 106.44 : x
  2. Step 2: Convert to fraction form
    349.98/524.78 = 106.44/x
  3. Step 3: Cross multiply
    349.98x = 524.78 × 106.44
  4. Step 4: Simplify right side
    349.98x = 55,857.58
  5. Step 5: Solve for x
    x = 55,857.58/349.98
  6. Step 6: Final answer
    x = 159.60

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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.