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Finding the Fourth Proportional to 284.54, 427.24 and 177.01

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Solution

The fourth proportional to 284.54, 427.24 and 177.01 is: 265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 427.24 = 177.01 : x
  2. Step 2: Convert to fraction form
    284.54/427.24 = 177.01/x
  3. Step 3: Cross multiply
    284.54x = 427.24 × 177.01
  4. Step 4: Simplify right side
    284.54x = 75,625.75
  5. Step 5: Solve for x
    x = 75,625.75/284.54
  6. Step 6: Final answer
    x = 265.78

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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.