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Finding the Fourth Proportional to 551.40, 827.06 and 186.20

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Solution

The fourth proportional to 551.40, 827.06 and 186.20 is: 279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.40 : 827.06 = 186.20 : x
  2. Step 2: Convert to fraction form
    551.40/827.06 = 186.20/x
  3. Step 3: Cross multiply
    551.40x = 827.06 × 186.20
  4. Step 4: Simplify right side
    551.40x = 153,998.57
  5. Step 5: Solve for x
    x = 153,998.57/551.40
  6. Step 6: Final answer
    x = 279.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.