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Finding the Fourth Proportional to 227.50, 313.93 and 129.25

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Solution

The fourth proportional to 227.50, 313.93 and 129.25 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 313.93 = 129.25 : x
  2. Step 2: Convert to fraction form
    227.50/313.93 = 129.25/x
  3. Step 3: Cross multiply
    227.50x = 313.93 × 129.25
  4. Step 4: Simplify right side
    227.50x = 40,575.45
  5. Step 5: Solve for x
    x = 40,575.45/227.50
  6. Step 6: Final answer
    x = 178.35

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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.