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Finding the Fourth Proportional to 350.10, 525.16 and 106.63

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Solution

The fourth proportional to 350.10, 525.16 and 106.63 is: 159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 525.16 = 106.63 : x
  2. Step 2: Convert to fraction form
    350.10/525.16 = 106.63/x
  3. Step 3: Cross multiply
    350.10x = 525.16 × 106.63
  4. Step 4: Simplify right side
    350.10x = 55,997.74
  5. Step 5: Solve for x
    x = 55,997.74/350.10
  6. Step 6: Final answer
    x = 159.95

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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.