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Finding the Fourth Proportional to 525.91, 788.36 and 196.76

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Solution

The fourth proportional to 525.91, 788.36 and 196.76 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.91 : 788.36 = 196.76 : x
  2. Step 2: Convert to fraction form
    525.91/788.36 = 196.76/x
  3. Step 3: Cross multiply
    525.91x = 788.36 × 196.76
  4. Step 4: Simplify right side
    525.91x = 155,115.19
  5. Step 5: Solve for x
    x = 155,115.19/525.91
  6. Step 6: Final answer
    x = 294.95

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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.