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Finding the Fourth Proportional to 284.58, 426.73 and 111.32

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Solution

The fourth proportional to 284.58, 426.73 and 111.32 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 426.73 = 111.32 : x
  2. Step 2: Convert to fraction form
    284.58/426.73 = 111.32/x
  3. Step 3: Cross multiply
    284.58x = 426.73 × 111.32
  4. Step 4: Simplify right side
    284.58x = 47,503.58
  5. Step 5: Solve for x
    x = 47,503.58/284.58
  6. Step 6: Final answer
    x = 166.93

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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.