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Finding the Fourth Proportional to 284.82, 393.02 and 160.47

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Solution

The fourth proportional to 284.82, 393.02 and 160.47 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.82 : 393.02 = 160.47 : x
  2. Step 2: Convert to fraction form
    284.82/393.02 = 160.47/x
  3. Step 3: Cross multiply
    284.82x = 393.02 × 160.47
  4. Step 4: Simplify right side
    284.82x = 63,065.15
  5. Step 5: Solve for x
    x = 63,065.15/284.82
  6. Step 6: Final answer
    x = 221.42

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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.