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Finding the Fourth Proportional to 270.79, 373.61 and 197.13

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Solution

The fourth proportional to 270.79, 373.61 and 197.13 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.79 : 373.61 = 197.13 : x
  2. Step 2: Convert to fraction form
    270.79/373.61 = 197.13/x
  3. Step 3: Cross multiply
    270.79x = 373.61 × 197.13
  4. Step 4: Simplify right side
    270.79x = 73,651.63
  5. Step 5: Solve for x
    x = 73,651.63/270.79
  6. Step 6: Final answer
    x = 271.98

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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.