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Finding the Fourth Proportional to 511.40, 766.98 and 186.80

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Solution

The fourth proportional to 511.40, 766.98 and 186.80 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 766.98 = 186.80 : x
  2. Step 2: Convert to fraction form
    511.40/766.98 = 186.80/x
  3. Step 3: Cross multiply
    511.40x = 766.98 × 186.80
  4. Step 4: Simplify right side
    511.40x = 143,271.86
  5. Step 5: Solve for x
    x = 143,271.86/511.40
  6. Step 6: Final answer
    x = 280.16

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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.