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Finding the Fourth Proportional to 284.85, 427.32 and 102.49

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Solution

The fourth proportional to 284.85, 427.32 and 102.49 is: 153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.85 : 427.32 = 102.49 : x
  2. Step 2: Convert to fraction form
    284.85/427.32 = 102.49/x
  3. Step 3: Cross multiply
    284.85x = 427.32 × 102.49
  4. Step 4: Simplify right side
    284.85x = 43,794.96
  5. Step 5: Solve for x
    x = 43,794.96/284.85
  6. Step 6: Final answer
    x = 153.75

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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.