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Finding the Fourth Proportional to 284.50, 426.70 and 111.10

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Solution

The fourth proportional to 284.50, 426.70 and 111.10 is: 166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 426.70 = 111.10 : x
  2. Step 2: Convert to fraction form
    284.50/426.70 = 111.10/x
  3. Step 3: Cross multiply
    284.50x = 426.70 × 111.10
  4. Step 4: Simplify right side
    284.50x = 47,406.37
  5. Step 5: Solve for x
    x = 47,406.37/284.50
  6. Step 6: Final answer
    x = 166.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.