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Finding the Fourth Proportional to 285.13, 427.47 and 111.92

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Solution

The fourth proportional to 285.13, 427.47 and 111.92 is: 167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.13 : 427.47 = 111.92 : x
  2. Step 2: Convert to fraction form
    285.13/427.47 = 111.92/x
  3. Step 3: Cross multiply
    285.13x = 427.47 × 111.92
  4. Step 4: Simplify right side
    285.13x = 47,840.31
  5. Step 5: Solve for x
    x = 47,840.31/285.13
  6. Step 6: Final answer
    x = 167.79

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