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Finding the Fourth Proportional to 521.66, 782.14 and 196.75

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Solution

The fourth proportional to 521.66, 782.14 and 196.75 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.66 : 782.14 = 196.75 : x
  2. Step 2: Convert to fraction form
    521.66/782.14 = 196.75/x
  3. Step 3: Cross multiply
    521.66x = 782.14 × 196.75
  4. Step 4: Simplify right side
    521.66x = 153,885.06
  5. Step 5: Solve for x
    x = 153,885.06/521.66
  6. Step 6: Final answer
    x = 294.99

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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.