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Finding the Fourth Proportional to 350.72, 525.73 and 145.43

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Solution

The fourth proportional to 350.72, 525.73 and 145.43 is: 218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.72 : 525.73 = 145.43 : x
  2. Step 2: Convert to fraction form
    350.72/525.73 = 145.43/x
  3. Step 3: Cross multiply
    350.72x = 525.73 × 145.43
  4. Step 4: Simplify right side
    350.72x = 76,456.91
  5. Step 5: Solve for x
    x = 76,456.91/350.72
  6. Step 6: Final answer
    x = 218.00

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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.