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Finding the Fourth Proportional to 225.98, 311.90 and 127.77

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Solution

The fourth proportional to 225.98, 311.90 and 127.77 is: 176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.98 : 311.90 = 127.77 : x
  2. Step 2: Convert to fraction form
    225.98/311.90 = 127.77/x
  3. Step 3: Cross multiply
    225.98x = 311.90 × 127.77
  4. Step 4: Simplify right side
    225.98x = 39,850.82
  5. Step 5: Solve for x
    x = 39,850.82/225.98
  6. Step 6: Final answer
    x = 176.35

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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.