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Finding the Fourth Proportional to 284.64, 392.82 and 168.21

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Solution

The fourth proportional to 284.64, 392.82 and 168.21 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 392.82 = 168.21 : x
  2. Step 2: Convert to fraction form
    284.64/392.82 = 168.21/x
  3. Step 3: Cross multiply
    284.64x = 392.82 × 168.21
  4. Step 4: Simplify right side
    284.64x = 66,076.25
  5. Step 5: Solve for x
    x = 66,076.25/284.64
  6. Step 6: Final answer
    x = 232.14

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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.