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Finding the Fourth Proportional to 188.74, 282.54 and 152.28

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Solution

The fourth proportional to 188.74, 282.54 and 152.28 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.74 : 282.54 = 152.28 : x
  2. Step 2: Convert to fraction form
    188.74/282.54 = 152.28/x
  3. Step 3: Cross multiply
    188.74x = 282.54 × 152.28
  4. Step 4: Simplify right side
    188.74x = 43,025.19
  5. Step 5: Solve for x
    x = 43,025.19/188.74
  6. Step 6: Final answer
    x = 227.96

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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.