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Finding the Fourth Proportional to 586.14, 878.91 and 196.00

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Solution

The fourth proportional to 586.14, 878.91 and 196.00 is: 293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.14 : 878.91 = 196.00 : x
  2. Step 2: Convert to fraction form
    586.14/878.91 = 196.00/x
  3. Step 3: Cross multiply
    586.14x = 878.91 × 196.00
  4. Step 4: Simplify right side
    586.14x = 172,268.92
  5. Step 5: Solve for x
    x = 172,268.92/586.14
  6. Step 6: Final answer
    x = 293.90

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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.