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Finding the Fourth Proportional to 284.32, 392.46 and 167.88

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Solution

The fourth proportional to 284.32, 392.46 and 167.88 is: 231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 392.46 = 167.88 : x
  2. Step 2: Convert to fraction form
    284.32/392.46 = 167.88/x
  3. Step 3: Cross multiply
    284.32x = 392.46 × 167.88
  4. Step 4: Simplify right side
    284.32x = 65,886.18
  5. Step 5: Solve for x
    x = 65,886.18/284.32
  6. Step 6: Final answer
    x = 231.73

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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.