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Finding the Fourth Proportional to 280.53, 386.72 and 197.37

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Solution

The fourth proportional to 280.53, 386.72 and 197.37 is: 272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 386.72 = 197.37 : x
  2. Step 2: Convert to fraction form
    280.53/386.72 = 197.37/x
  3. Step 3: Cross multiply
    280.53x = 386.72 × 197.37
  4. Step 4: Simplify right side
    280.53x = 76,326.93
  5. Step 5: Solve for x
    x = 76,326.93/280.53
  6. Step 6: Final answer
    x = 272.08

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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.