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Finding the Fourth Proportional to 284.96, 427.38 and 102.25

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Solution

The fourth proportional to 284.96, 427.38 and 102.25 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.96 : 427.38 = 102.25 : x
  2. Step 2: Convert to fraction form
    284.96/427.38 = 102.25/x
  3. Step 3: Cross multiply
    284.96x = 427.38 × 102.25
  4. Step 4: Simplify right side
    284.96x = 43,699.15
  5. Step 5: Solve for x
    x = 43,699.15/284.96
  6. Step 6: Final answer
    x = 153.35

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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.