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Finding the Fourth Proportional to 226.94, 312.92 and 153.13

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Solution

The fourth proportional to 226.94, 312.92 and 153.13 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 312.92 = 153.13 : x
  2. Step 2: Convert to fraction form
    226.94/312.92 = 153.13/x
  3. Step 3: Cross multiply
    226.94x = 312.92 × 153.13
  4. Step 4: Simplify right side
    226.94x = 47,915.11
  5. Step 5: Solve for x
    x = 47,915.11/226.94
  6. Step 6: Final answer
    x = 211.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.