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Finding the Fourth Proportional to 350.28, 525.47 and 106.77

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Solution

The fourth proportional to 350.28, 525.47 and 106.77 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.28 : 525.47 = 106.77 : x
  2. Step 2: Convert to fraction form
    350.28/525.47 = 106.77/x
  3. Step 3: Cross multiply
    350.28x = 525.47 × 106.77
  4. Step 4: Simplify right side
    350.28x = 56,104.43
  5. Step 5: Solve for x
    x = 56,104.43/350.28
  6. Step 6: Final answer
    x = 160.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.