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Finding the Fourth Proportional to 517.66, 776.18 and 192.65

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Solution

The fourth proportional to 517.66, 776.18 and 192.65 is: 288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 776.18 = 192.65 : x
  2. Step 2: Convert to fraction form
    517.66/776.18 = 192.65/x
  3. Step 3: Cross multiply
    517.66x = 776.18 × 192.65
  4. Step 4: Simplify right side
    517.66x = 149,527.68
  5. Step 5: Solve for x
    x = 149,527.68/517.66
  6. Step 6: Final answer
    x = 288.85

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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.