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Finding the Fourth Proportional to 285.36, 427.71 and 131.26

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Solution

The fourth proportional to 285.36, 427.71 and 131.26 is: 196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.36 : 427.71 = 131.26 : x
  2. Step 2: Convert to fraction form
    285.36/427.71 = 131.26/x
  3. Step 3: Cross multiply
    285.36x = 427.71 × 131.26
  4. Step 4: Simplify right side
    285.36x = 56,141.21
  5. Step 5: Solve for x
    x = 56,141.21/285.36
  6. Step 6: Final answer
    x = 196.74

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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.