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Finding the Fourth Proportional to 284.86, 427.34 and 102.27

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Solution

The fourth proportional to 284.86, 427.34 and 102.27 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.86 : 427.34 = 102.27 : x
  2. Step 2: Convert to fraction form
    284.86/427.34 = 102.27/x
  3. Step 3: Cross multiply
    284.86x = 427.34 × 102.27
  4. Step 4: Simplify right side
    284.86x = 43,703.55
  5. Step 5: Solve for x
    x = 43,703.55/284.86
  6. Step 6: Final answer
    x = 153.42

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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.