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Finding the Fourth Proportional to 284.14, 392.11 and 166.20

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Solution

The fourth proportional to 284.14, 392.11 and 166.20 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 392.11 = 166.20 : x
  2. Step 2: Convert to fraction form
    284.14/392.11 = 166.20/x
  3. Step 3: Cross multiply
    284.14x = 392.11 × 166.20
  4. Step 4: Simplify right side
    284.14x = 65,166.72
  5. Step 5: Solve for x
    x = 65,166.72/284.14
  6. Step 6: Final answer
    x = 229.35

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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.