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Finding the Fourth Proportional to 511.01, 765.90 and 186.20

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Solution

The fourth proportional to 511.01, 765.90 and 186.20 is: 279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.01 : 765.90 = 186.20 : x
  2. Step 2: Convert to fraction form
    511.01/765.90 = 186.20/x
  3. Step 3: Cross multiply
    511.01x = 765.90 × 186.20
  4. Step 4: Simplify right side
    511.01x = 142,606.75
  5. Step 5: Solve for x
    x = 142,606.75/511.01
  6. Step 6: Final answer
    x = 279.07

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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.