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Finding the Fourth Proportional to 285.24, 427.48 and 122.82

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Solution

The fourth proportional to 285.24, 427.48 and 122.82 is: 184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.24 : 427.48 = 122.82 : x
  2. Step 2: Convert to fraction form
    285.24/427.48 = 122.82/x
  3. Step 3: Cross multiply
    285.24x = 427.48 × 122.82
  4. Step 4: Simplify right side
    285.24x = 52,503.09
  5. Step 5: Solve for x
    x = 52,503.09/285.24
  6. Step 6: Final answer
    x = 184.07

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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.