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Finding the Fourth Proportional to 226.90, 313.32 and 178

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Solution

The fourth proportional to 226.90, 313.32 and 178 is: 245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.90 : 313.32 = 178 : x
  2. Step 2: Convert to fraction form
    226.90/313.32 = 178/x
  3. Step 3: Cross multiply
    226.90x = 313.32 × 178
  4. Step 4: Simplify right side
    226.90x = 55,770.96
  5. Step 5: Solve for x
    x = 55,770.96/226.90
  6. Step 6: Final answer
    x = 245.80

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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.