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Finding the Fourth Proportional to 253.98, 381.00 and 89.43

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Solution

The fourth proportional to 253.98, 381.00 and 89.43 is: 134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 381.00 = 89.43 : x
  2. Step 2: Convert to fraction form
    253.98/381.00 = 89.43/x
  3. Step 3: Cross multiply
    253.98x = 381.00 × 89.43
  4. Step 4: Simplify right side
    253.98x = 34,073.34
  5. Step 5: Solve for x
    x = 34,073.34/253.98
  6. Step 6: Final answer
    x = 134.16

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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.