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Finding the Fourth Proportional to 152.05, 227.59 and 123.25

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Solution

The fourth proportional to 152.05, 227.59 and 123.25 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.05 : 227.59 = 123.25 : x
  2. Step 2: Convert to fraction form
    152.05/227.59 = 123.25/x
  3. Step 3: Cross multiply
    152.05x = 227.59 × 123.25
  4. Step 4: Simplify right side
    152.05x = 28,050.47
  5. Step 5: Solve for x
    x = 28,050.47/152.05
  6. Step 6: Final answer
    x = 184.48

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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.