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Finding the Fourth Proportional to 226.58, 312.69 and 127

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Solution

The fourth proportional to 226.58, 312.69 and 127 is: 175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.58 : 312.69 = 127 : x
  2. Step 2: Convert to fraction form
    226.58/312.69 = 127/x
  3. Step 3: Cross multiply
    226.58x = 312.69 × 127
  4. Step 4: Simplify right side
    226.58x = 39,711.63
  5. Step 5: Solve for x
    x = 39,711.63/226.58
  6. Step 6: Final answer
    x = 175.27

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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.