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Finding the Fourth Proportional to 280.23, 386.64 and 181.96

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Solution

The fourth proportional to 280.23, 386.64 and 181.96 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.23 : 386.64 = 181.96 : x
  2. Step 2: Convert to fraction form
    280.23/386.64 = 181.96/x
  3. Step 3: Cross multiply
    280.23x = 386.64 × 181.96
  4. Step 4: Simplify right side
    280.23x = 70,354.22
  5. Step 5: Solve for x
    x = 70,354.22/280.23
  6. Step 6: Final answer
    x = 251.06

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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.