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Finding the Fourth Proportional to 280.02, 386.56 and 181.85

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Solution

The fourth proportional to 280.02, 386.56 and 181.85 is: 251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 386.56 = 181.85 : x
  2. Step 2: Convert to fraction form
    280.02/386.56 = 181.85/x
  3. Step 3: Cross multiply
    280.02x = 386.56 × 181.85
  4. Step 4: Simplify right side
    280.02x = 70,295.94
  5. Step 5: Solve for x
    x = 70,295.94/280.02
  6. Step 6: Final answer
    x = 251.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.