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Finding the Fourth Proportional to 284.77, 393.23 and 180.05

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Solution

The fourth proportional to 284.77, 393.23 and 180.05 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.77 : 393.23 = 180.05 : x
  2. Step 2: Convert to fraction form
    284.77/393.23 = 180.05/x
  3. Step 3: Cross multiply
    284.77x = 393.23 × 180.05
  4. Step 4: Simplify right side
    284.77x = 70,799.55
  5. Step 5: Solve for x
    x = 70,799.55/284.77
  6. Step 6: Final answer
    x = 248.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.