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Finding the Fourth Proportional to 226.10, 312.00 and 127.84

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Solution

The fourth proportional to 226.10, 312.00 and 127.84 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 312.00 = 127.84 : x
  2. Step 2: Convert to fraction form
    226.10/312.00 = 127.84/x
  3. Step 3: Cross multiply
    226.10x = 312.00 × 127.84
  4. Step 4: Simplify right side
    226.10x = 39,884.82
  5. Step 5: Solve for x
    x = 39,884.82/226.10
  6. Step 6: Final answer
    x = 176.41

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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.