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Finding the Fourth Proportional to 270.78, 373.71 and 197.07

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Solution

The fourth proportional to 270.78, 373.71 and 197.07 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 373.71 = 197.07 : x
  2. Step 2: Convert to fraction form
    270.78/373.71 = 197.07/x
  3. Step 3: Cross multiply
    270.78x = 373.71 × 197.07
  4. Step 4: Simplify right side
    270.78x = 73,647.03
  5. Step 5: Solve for x
    x = 73,647.03/270.78
  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.