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Finding the Fourth Proportional to 262.84, 394.26 and 89.53

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Solution

The fourth proportional to 262.84, 394.26 and 89.53 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 394.26 = 89.53 : x
  2. Step 2: Convert to fraction form
    262.84/394.26 = 89.53/x
  3. Step 3: Cross multiply
    262.84x = 394.26 × 89.53
  4. Step 4: Simplify right side
    262.84x = 35,297.53
  5. Step 5: Solve for x
    x = 35,297.53/262.84
  6. Step 6: Final answer
    x = 134.29

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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.