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Finding the Fourth Proportional to 227.83, 314.49 and 154

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Solution

The fourth proportional to 227.83, 314.49 and 154 is: 212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.83 : 314.49 = 154 : x
  2. Step 2: Convert to fraction form
    227.83/314.49 = 154/x
  3. Step 3: Cross multiply
    227.83x = 314.49 × 154
  4. Step 4: Simplify right side
    227.83x = 48,431.46
  5. Step 5: Solve for x
    x = 48,431.46/227.83
  6. Step 6: Final answer
    x = 212.58

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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.