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Finding the Fourth Proportional to 285.05, 427.75 and 130.97

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Solution

The fourth proportional to 285.05, 427.75 and 130.97 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.05 : 427.75 = 130.97 : x
  2. Step 2: Convert to fraction form
    285.05/427.75 = 130.97/x
  3. Step 3: Cross multiply
    285.05x = 427.75 × 130.97
  4. Step 4: Simplify right side
    285.05x = 56,023.16
  5. Step 5: Solve for x
    x = 56,023.16/285.05
  6. Step 6: Final answer
    x = 196.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.