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Finding the Fourth Proportional to 284, 425.74 and 180.99

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Solution

The fourth proportional to 284, 425.74 and 180.99 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 425.74 = 180.99 : x
  2. Step 2: Convert to fraction form
    284/425.74 = 180.99/x
  3. Step 3: Cross multiply
    284x = 425.74 × 180.99
  4. Step 4: Simplify right side
    284x = 77,054.68
  5. Step 5: Solve for x
    x = 77,054.68/284
  6. Step 6: Final answer
    x = 271.32

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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.