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Finding the Fourth Proportional to 350.48, 525.77 and 106.97

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Solution

The fourth proportional to 350.48, 525.77 and 106.97 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.48 : 525.77 = 106.97 : x
  2. Step 2: Convert to fraction form
    350.48/525.77 = 106.97/x
  3. Step 3: Cross multiply
    350.48x = 525.77 × 106.97
  4. Step 4: Simplify right side
    350.48x = 56,238.45
  5. Step 5: Solve for x
    x = 56,238.45/350.48
  6. Step 6: Final answer
    x = 160.46

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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.