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Finding the Fourth Proportional to 511.25, 766.72 and 186.53

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Solution

The fourth proportional to 511.25, 766.72 and 186.53 is: 279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.25 : 766.72 = 186.53 : x
  2. Step 2: Convert to fraction form
    511.25/766.72 = 186.53/x
  3. Step 3: Cross multiply
    511.25x = 766.72 × 186.53
  4. Step 4: Simplify right side
    511.25x = 143,015.35
  5. Step 5: Solve for x
    x = 143,015.35/511.25
  6. Step 6: Final answer
    x = 279.74

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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.