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Finding the Fourth Proportional to 551.74, 827.32 and 186.30

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Solution

The fourth proportional to 551.74, 827.32 and 186.30 is: 279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.74 : 827.32 = 186.30 : x
  2. Step 2: Convert to fraction form
    551.74/827.32 = 186.30/x
  3. Step 3: Cross multiply
    551.74x = 827.32 × 186.30
  4. Step 4: Simplify right side
    551.74x = 154,129.72
  5. Step 5: Solve for x
    x = 154,129.72/551.74
  6. Step 6: Final answer
    x = 279.35

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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.