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Finding the Fourth Proportional to 350.16, 525.08 and 106.64

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Solution

The fourth proportional to 350.16, 525.08 and 106.64 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.16 : 525.08 = 106.64 : x
  2. Step 2: Convert to fraction form
    350.16/525.08 = 106.64/x
  3. Step 3: Cross multiply
    350.16x = 525.08 × 106.64
  4. Step 4: Simplify right side
    350.16x = 55,993.49
  5. Step 5: Solve for x
    x = 55,993.49/350.16
  6. Step 6: Final answer
    x = 159.91

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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.