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Finding the Fourth Proportional to 350.85, 525.80 and 145.17

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Solution

The fourth proportional to 350.85, 525.80 and 145.17 is: 217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.85 : 525.80 = 145.17 : x
  2. Step 2: Convert to fraction form
    350.85/525.80 = 145.17/x
  3. Step 3: Cross multiply
    350.85x = 525.80 × 145.17
  4. Step 4: Simplify right side
    350.85x = 76,330.75
  5. Step 5: Solve for x
    x = 76,330.75/350.85
  6. Step 6: Final answer
    x = 217.56

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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.