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Finding the Fourth Proportional to 350.13, 525.28 and 106.66

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Solution

The fourth proportional to 350.13, 525.28 and 106.66 is: 160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.13 : 525.28 = 106.66 : x
  2. Step 2: Convert to fraction form
    350.13/525.28 = 106.66/x
  3. Step 3: Cross multiply
    350.13x = 525.28 × 106.66
  4. Step 4: Simplify right side
    350.13x = 56,025.83
  5. Step 5: Solve for x
    x = 56,025.83/350.13
  6. Step 6: Final answer
    x = 160.01

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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.