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Finding the Fourth Proportional to 280.33, 386.91 and 197.24

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Solution

The fourth proportional to 280.33, 386.91 and 197.24 is: 272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.33 : 386.91 = 197.24 : x
  2. Step 2: Convert to fraction form
    280.33/386.91 = 197.24/x
  3. Step 3: Cross multiply
    280.33x = 386.91 × 197.24
  4. Step 4: Simplify right side
    280.33x = 76,312.19
  5. Step 5: Solve for x
    x = 76,312.19/280.33
  6. Step 6: Final answer
    x = 272.23

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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.