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Finding the Fourth Proportional to 284.91, 427.38 and 102.33

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Solution

The fourth proportional to 284.91, 427.38 and 102.33 is: 153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.91 : 427.38 = 102.33 : x
  2. Step 2: Convert to fraction form
    284.91/427.38 = 102.33/x
  3. Step 3: Cross multiply
    284.91x = 427.38 × 102.33
  4. Step 4: Simplify right side
    284.91x = 43,733.80
  5. Step 5: Solve for x
    x = 43,733.80/284.91
  6. Step 6: Final answer
    x = 153.50

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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.