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Finding the Fourth Proportional to 226.16, 312.66 and 174

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Solution

The fourth proportional to 226.16, 312.66 and 174 is: 240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 312.66 = 174 : x
  2. Step 2: Convert to fraction form
    226.16/312.66 = 174/x
  3. Step 3: Cross multiply
    226.16x = 312.66 × 174
  4. Step 4: Simplify right side
    226.16x = 54,402.84
  5. Step 5: Solve for x
    x = 54,402.84/226.16
  6. Step 6: Final answer
    x = 240.55

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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.