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Finding the Fourth Proportional to 284.23, 392.33 and 166.24

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Solution

The fourth proportional to 284.23, 392.33 and 166.24 is: 229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 392.33 = 166.24 : x
  2. Step 2: Convert to fraction form
    284.23/392.33 = 166.24/x
  3. Step 3: Cross multiply
    284.23x = 392.33 × 166.24
  4. Step 4: Simplify right side
    284.23x = 65,220.94
  5. Step 5: Solve for x
    x = 65,220.94/284.23
  6. Step 6: Final answer
    x = 229.47

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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.