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Finding the Fourth Proportional to 284.81, 393.01 and 160.46

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Solution

The fourth proportional to 284.81, 393.01 and 160.46 is: 221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.81 : 393.01 = 160.46 : x
  2. Step 2: Convert to fraction form
    284.81/393.01 = 160.46/x
  3. Step 3: Cross multiply
    284.81x = 393.01 × 160.46
  4. Step 4: Simplify right side
    284.81x = 63,060.42
  5. Step 5: Solve for x
    x = 63,060.42/284.81
  6. Step 6: Final answer
    x = 221.41

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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.