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Finding the Fourth Proportional to 350.58, 524.76 and 196.14

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Solution

The fourth proportional to 350.58, 524.76 and 196.14 is: 293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.58 : 524.76 = 196.14 : x
  2. Step 2: Convert to fraction form
    350.58/524.76 = 196.14/x
  3. Step 3: Cross multiply
    350.58x = 524.76 × 196.14
  4. Step 4: Simplify right side
    350.58x = 102,926.43
  5. Step 5: Solve for x
    x = 102,926.43/350.58
  6. Step 6: Final answer
    x = 293.59

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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.