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Finding the Fourth Proportional to 225.87, 311.68 and 127.62

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Solution

The fourth proportional to 225.87, 311.68 and 127.62 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 311.68 = 127.62 : x
  2. Step 2: Convert to fraction form
    225.87/311.68 = 127.62/x
  3. Step 3: Cross multiply
    225.87x = 311.68 × 127.62
  4. Step 4: Simplify right side
    225.87x = 39,776.60
  5. Step 5: Solve for x
    x = 39,776.60/225.87
  6. Step 6: Final answer
    x = 176.10

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