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Finding the Fourth Proportional to 284.55, 392.70 and 166.56

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Solution

The fourth proportional to 284.55, 392.70 and 166.56 is: 229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 392.70 = 166.56 : x
  2. Step 2: Convert to fraction form
    284.55/392.70 = 166.56/x
  3. Step 3: Cross multiply
    284.55x = 392.70 × 166.56
  4. Step 4: Simplify right side
    284.55x = 65,408.11
  5. Step 5: Solve for x
    x = 65,408.11/284.55
  6. Step 6: Final answer
    x = 229.87

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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.