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Finding the Fourth Proportional to 551.82, 827.63 and 186.51

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Solution

The fourth proportional to 551.82, 827.63 and 186.51 is: 279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.82 : 827.63 = 186.51 : x
  2. Step 2: Convert to fraction form
    551.82/827.63 = 186.51/x
  3. Step 3: Cross multiply
    551.82x = 827.63 × 186.51
  4. Step 4: Simplify right side
    551.82x = 154,364.14
  5. Step 5: Solve for x
    x = 154,364.14/551.82
  6. Step 6: Final answer
    x = 279.73

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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.