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Finding the Fourth Proportional to 350.94, 526.47 and 196.80

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Solution

The fourth proportional to 350.94, 526.47 and 196.80 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 526.47 = 196.80 : x
  2. Step 2: Convert to fraction form
    350.94/526.47 = 196.80/x
  3. Step 3: Cross multiply
    350.94x = 526.47 × 196.80
  4. Step 4: Simplify right side
    350.94x = 103,609.30
  5. Step 5: Solve for x
    x = 103,609.30/350.94
  6. Step 6: Final answer
    x = 295.23

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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.