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Finding the Fourth Proportional to 284.97, 427.65 and 176.43

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Solution

The fourth proportional to 284.97, 427.65 and 176.43 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.97 : 427.65 = 176.43 : x
  2. Step 2: Convert to fraction form
    284.97/427.65 = 176.43/x
  3. Step 3: Cross multiply
    284.97x = 427.65 × 176.43
  4. Step 4: Simplify right side
    284.97x = 75,450.29
  5. Step 5: Solve for x
    x = 75,450.29/284.97
  6. Step 6: Final answer
    x = 264.77

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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.