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Finding the Fourth Proportional to 284.62, 427.06 and 140.26

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Solution

The fourth proportional to 284.62, 427.06 and 140.26 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.62 : 427.06 = 140.26 : x
  2. Step 2: Convert to fraction form
    284.62/427.06 = 140.26/x
  3. Step 3: Cross multiply
    284.62x = 427.06 × 140.26
  4. Step 4: Simplify right side
    284.62x = 59,899.44
  5. Step 5: Solve for x
    x = 59,899.44/284.62
  6. Step 6: Final answer
    x = 210.45

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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.