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Finding the Fourth Proportional to 350.14, 524.86 and 167.70

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Solution

The fourth proportional to 350.14, 524.86 and 167.70 is: 251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.14 : 524.86 = 167.70 : x
  2. Step 2: Convert to fraction form
    350.14/524.86 = 167.70/x
  3. Step 3: Cross multiply
    350.14x = 524.86 × 167.70
  4. Step 4: Simplify right side
    350.14x = 88,019.02
  5. Step 5: Solve for x
    x = 88,019.02/350.14
  6. Step 6: Final answer
    x = 251.38

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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.