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Finding the Fourth Proportional to 301.89, 416.76 and 197.13

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Solution

The fourth proportional to 301.89, 416.76 and 197.13 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.89 : 416.76 = 197.13 : x
  2. Step 2: Convert to fraction form
    301.89/416.76 = 197.13/x
  3. Step 3: Cross multiply
    301.89x = 416.76 × 197.13
  4. Step 4: Simplify right side
    301.89x = 82,155.90
  5. Step 5: Solve for x
    x = 82,155.90/301.89
  6. Step 6: Final answer
    x = 272.14

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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.