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Finding the Fourth Proportional to 350.53, 525.79 and 119.31

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Solution

The fourth proportional to 350.53, 525.79 and 119.31 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.53 : 525.79 = 119.31 : x
  2. Step 2: Convert to fraction form
    350.53/525.79 = 119.31/x
  3. Step 3: Cross multiply
    350.53x = 525.79 × 119.31
  4. Step 4: Simplify right side
    350.53x = 62,730.18
  5. Step 5: Solve for x
    x = 62,730.18/350.53
  6. Step 6: Final answer
    x = 178.96

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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.