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Finding the Fourth Proportional to 511.29, 766.85 and 182.16

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Solution

The fourth proportional to 511.29, 766.85 and 182.16 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.29 : 766.85 = 182.16 : x
  2. Step 2: Convert to fraction form
    511.29/766.85 = 182.16/x
  3. Step 3: Cross multiply
    511.29x = 766.85 × 182.16
  4. Step 4: Simplify right side
    511.29x = 139,688.49
  5. Step 5: Solve for x
    x = 139,688.49/511.29
  6. Step 6: Final answer
    x = 273.21

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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.