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Finding the Fourth Proportional to 270.78, 373.66 and 197.40

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Solution

The fourth proportional to 270.78, 373.66 and 197.40 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 373.66 = 197.40 : x
  2. Step 2: Convert to fraction form
    270.78/373.66 = 197.40/x
  3. Step 3: Cross multiply
    270.78x = 373.66 × 197.40
  4. Step 4: Simplify right side
    270.78x = 73,762.50
  5. Step 5: Solve for x
    x = 73,762.50/270.78
  6. Step 6: Final answer
    x = 272.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.