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Finding the Fourth Proportional to 227.84, 314.18 and 222.81

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Solution

The fourth proportional to 227.84, 314.18 and 222.81 is: 307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 314.18 = 222.81 : x
  2. Step 2: Convert to fraction form
    227.84/314.18 = 222.81/x
  3. Step 3: Cross multiply
    227.84x = 314.18 × 222.81
  4. Step 4: Simplify right side
    227.84x = 70,002.45
  5. Step 5: Solve for x
    x = 70,002.45/227.84
  6. Step 6: Final answer
    x = 307.24

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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.