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Finding the Fourth Proportional to 280.30, 386.94 and 182.02

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Solution

The fourth proportional to 280.30, 386.94 and 182.02 is: 251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.30 : 386.94 = 182.02 : x
  2. Step 2: Convert to fraction form
    280.30/386.94 = 182.02/x
  3. Step 3: Cross multiply
    280.30x = 386.94 × 182.02
  4. Step 4: Simplify right side
    280.30x = 70,430.82
  5. Step 5: Solve for x
    x = 70,430.82/280.30
  6. Step 6: Final answer
    x = 251.27

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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.