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Finding the Fourth Proportional to 284.80, 427.27 and 102.21

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Solution

The fourth proportional to 284.80, 427.27 and 102.21 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 427.27 = 102.21 : x
  2. Step 2: Convert to fraction form
    284.80/427.27 = 102.21/x
  3. Step 3: Cross multiply
    284.80x = 427.27 × 102.21
  4. Step 4: Simplify right side
    284.80x = 43,671.27
  5. Step 5: Solve for x
    x = 43,671.27/284.80
  6. Step 6: Final answer
    x = 153.34

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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.