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Finding the Fourth Proportional to 280.28, 386.67 and 175.31

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Solution

The fourth proportional to 280.28, 386.67 and 175.31 is: 241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.28 : 386.67 = 175.31 : x
  2. Step 2: Convert to fraction form
    280.28/386.67 = 175.31/x
  3. Step 3: Cross multiply
    280.28x = 386.67 × 175.31
  4. Step 4: Simplify right side
    280.28x = 67,784.31
  5. Step 5: Solve for x
    x = 67,784.31/280.28
  6. Step 6: Final answer
    x = 241.84

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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.