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Finding the Fourth Proportional to 285.06, 427.14 and 130.80

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Solution

The fourth proportional to 285.06, 427.14 and 130.80 is: 195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 427.14 = 130.80 : x
  2. Step 2: Convert to fraction form
    285.06/427.14 = 130.80/x
  3. Step 3: Cross multiply
    285.06x = 427.14 × 130.80
  4. Step 4: Simplify right side
    285.06x = 55,869.91
  5. Step 5: Solve for x
    x = 55,869.91/285.06
  6. Step 6: Final answer
    x = 195.99

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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.