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Finding the Fourth Proportional to 284.63, 392.81 and 168.21

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Solution

The fourth proportional to 284.63, 392.81 and 168.21 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 392.81 = 168.21 : x
  2. Step 2: Convert to fraction form
    284.63/392.81 = 168.21/x
  3. Step 3: Cross multiply
    284.63x = 392.81 × 168.21
  4. Step 4: Simplify right side
    284.63x = 66,073.73
  5. Step 5: Solve for x
    x = 66,073.73/284.63
  6. Step 6: Final answer
    x = 232.14

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