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Finding the Fourth Proportional to 284.23, 392.30 and 167.83

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Solution

The fourth proportional to 284.23, 392.30 and 167.83 is: 231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 392.30 = 167.83 : x
  2. Step 2: Convert to fraction form
    284.23/392.30 = 167.83/x
  3. Step 3: Cross multiply
    284.23x = 392.30 × 167.83
  4. Step 4: Simplify right side
    284.23x = 65,839.71
  5. Step 5: Solve for x
    x = 65,839.71/284.23
  6. Step 6: Final answer
    x = 231.64

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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.