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Finding the Fourth Proportional to 350.81, 525.86 and 145.49

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Solution

The fourth proportional to 350.81, 525.86 and 145.49 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.81 : 525.86 = 145.49 : x
  2. Step 2: Convert to fraction form
    350.81/525.86 = 145.49/x
  3. Step 3: Cross multiply
    350.81x = 525.86 × 145.49
  4. Step 4: Simplify right side
    350.81x = 76,509.05
  5. Step 5: Solve for x
    x = 76,509.05/350.81
  6. Step 6: Final answer
    x = 218.09

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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.