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Finding the Fourth Proportional to 285.23, 427.70 and 111.84

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Solution

The fourth proportional to 285.23, 427.70 and 111.84 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.23 : 427.70 = 111.84 : x
  2. Step 2: Convert to fraction form
    285.23/427.70 = 111.84/x
  3. Step 3: Cross multiply
    285.23x = 427.70 × 111.84
  4. Step 4: Simplify right side
    285.23x = 47,833.41
  5. Step 5: Solve for x
    x = 47,833.41/285.23
  6. Step 6: Final answer
    x = 167.70

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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.