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Finding the Fourth Proportional to 270.29, 373.59 and 197.12

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Solution

The fourth proportional to 270.29, 373.59 and 197.12 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.29 : 373.59 = 197.12 : x
  2. Step 2: Convert to fraction form
    270.29/373.59 = 197.12/x
  3. Step 3: Cross multiply
    270.29x = 373.59 × 197.12
  4. Step 4: Simplify right side
    270.29x = 73,639.21
  5. Step 5: Solve for x
    x = 73,639.21/270.29
  6. Step 6: Final answer
    x = 272.45

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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.