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Finding the Fourth Proportional to 350.69, 525.87 and 145.22

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Solution

The fourth proportional to 350.69, 525.87 and 145.22 is: 217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.69 : 525.87 = 145.22 : x
  2. Step 2: Convert to fraction form
    350.69/525.87 = 145.22/x
  3. Step 3: Cross multiply
    350.69x = 525.87 × 145.22
  4. Step 4: Simplify right side
    350.69x = 76,364.21
  5. Step 5: Solve for x
    x = 76,364.21/350.69
  6. Step 6: Final answer
    x = 217.76

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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.