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Finding the Fourth Proportional to 284.52, 426.70 and 111.14

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Solution

The fourth proportional to 284.52, 426.70 and 111.14 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 426.70 = 111.14 : x
  2. Step 2: Convert to fraction form
    284.52/426.70 = 111.14/x
  3. Step 3: Cross multiply
    284.52x = 426.70 × 111.14
  4. Step 4: Simplify right side
    284.52x = 47,421.44
  5. Step 5: Solve for x
    x = 47,421.44/284.52
  6. Step 6: Final answer
    x = 166.67

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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.