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Finding the Fourth Proportional to 227.84, 314.14 and 171.84

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Solution

The fourth proportional to 227.84, 314.14 and 171.84 is: 236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 314.14 = 171.84 : x
  2. Step 2: Convert to fraction form
    227.84/314.14 = 171.84/x
  3. Step 3: Cross multiply
    227.84x = 314.14 × 171.84
  4. Step 4: Simplify right side
    227.84x = 53,981.82
  5. Step 5: Solve for x
    x = 53,981.82/227.84
  6. Step 6: Final answer
    x = 236.93

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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.