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Finding the Fourth Proportional to 552.08, 828.17 and 186.77

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Solution

The fourth proportional to 552.08, 828.17 and 186.77 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.08 : 828.17 = 186.77 : x
  2. Step 2: Convert to fraction form
    552.08/828.17 = 186.77/x
  3. Step 3: Cross multiply
    552.08x = 828.17 × 186.77
  4. Step 4: Simplify right side
    552.08x = 154,677.31
  5. Step 5: Solve for x
    x = 154,677.31/552.08
  6. Step 6: Final answer
    x = 280.17

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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.