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Finding the Fourth Proportional to 284.84, 427.16 and 102.19

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Solution

The fourth proportional to 284.84, 427.16 and 102.19 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.84 : 427.16 = 102.19 : x
  2. Step 2: Convert to fraction form
    284.84/427.16 = 102.19/x
  3. Step 3: Cross multiply
    284.84x = 427.16 × 102.19
  4. Step 4: Simplify right side
    284.84x = 43,650.97
  5. Step 5: Solve for x
    x = 43,650.97/284.84
  6. Step 6: Final answer
    x = 153.25

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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.