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Finding the Fourth Proportional to 280.47, 386.80 and 182.13

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Solution

The fourth proportional to 280.47, 386.80 and 182.13 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 386.80 = 182.13 : x
  2. Step 2: Convert to fraction form
    280.47/386.80 = 182.13/x
  3. Step 3: Cross multiply
    280.47x = 386.80 × 182.13
  4. Step 4: Simplify right side
    280.47x = 70,447.88
  5. Step 5: Solve for x
    x = 70,447.88/280.47
  6. Step 6: Final answer
    x = 251.18

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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.