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Finding the Fourth Proportional to 227.81, 314.65 and 154.00

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Solution

The fourth proportional to 227.81, 314.65 and 154.00 is: 212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.81 : 314.65 = 154.00 : x
  2. Step 2: Convert to fraction form
    227.81/314.65 = 154.00/x
  3. Step 3: Cross multiply
    227.81x = 314.65 × 154.00
  4. Step 4: Simplify right side
    227.81x = 48,456.69
  5. Step 5: Solve for x
    x = 48,456.69/227.81
  6. Step 6: Final answer
    x = 212.70

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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.