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Finding the Fourth Proportional to 350.58, 525.90 and 119.42

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Solution

The fourth proportional to 350.58, 525.90 and 119.42 is: 179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.58 : 525.90 = 119.42 : x
  2. Step 2: Convert to fraction form
    350.58/525.90 = 119.42/x
  3. Step 3: Cross multiply
    350.58x = 525.90 × 119.42
  4. Step 4: Simplify right side
    350.58x = 62,802.98
  5. Step 5: Solve for x
    x = 62,802.98/350.58
  6. Step 6: Final answer
    x = 179.14

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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.