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Finding the Fourth Proportional to 280.52, 386.40 and 197.48

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Solution

The fourth proportional to 280.52, 386.40 and 197.48 is: 272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 386.40 = 197.48 : x
  2. Step 2: Convert to fraction form
    280.52/386.40 = 197.48/x
  3. Step 3: Cross multiply
    280.52x = 386.40 × 197.48
  4. Step 4: Simplify right side
    280.52x = 76,307.89
  5. Step 5: Solve for x
    x = 76,307.89/280.52
  6. Step 6: Final answer
    x = 272.02

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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.