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Finding the Fourth Proportional to 284.74, 392.76 and 168.22

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Solution

The fourth proportional to 284.74, 392.76 and 168.22 is: 232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.74 : 392.76 = 168.22 : x
  2. Step 2: Convert to fraction form
    284.74/392.76 = 168.22/x
  3. Step 3: Cross multiply
    284.74x = 392.76 × 168.22
  4. Step 4: Simplify right side
    284.74x = 66,070.09
  5. Step 5: Solve for x
    x = 66,070.09/284.74
  6. Step 6: Final answer
    x = 232.04

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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.