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Finding the Fourth Proportional to 227.48, 340.54 and 188.60

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Solution

The fourth proportional to 227.48, 340.54 and 188.60 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 340.54 = 188.60 : x
  2. Step 2: Convert to fraction form
    227.48/340.54 = 188.60/x
  3. Step 3: Cross multiply
    227.48x = 340.54 × 188.60
  4. Step 4: Simplify right side
    227.48x = 64,225.84
  5. Step 5: Solve for x
    x = 64,225.84/227.48
  6. Step 6: Final answer
    x = 282.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.