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Finding the Fourth Proportional to 511.02, 766.08 and 198.48

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Solution

The fourth proportional to 511.02, 766.08 and 198.48 is: 297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.02 : 766.08 = 198.48 : x
  2. Step 2: Convert to fraction form
    511.02/766.08 = 198.48/x
  3. Step 3: Cross multiply
    511.02x = 766.08 × 198.48
  4. Step 4: Simplify right side
    511.02x = 152,051.56
  5. Step 5: Solve for x
    x = 152,051.56/511.02
  6. Step 6: Final answer
    x = 297.55

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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.