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Finding the Fourth Proportional to 152.69, 227.37 and 148.82

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Solution

The fourth proportional to 152.69, 227.37 and 148.82 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.69 : 227.37 = 148.82 : x
  2. Step 2: Convert to fraction form
    152.69/227.37 = 148.82/x
  3. Step 3: Cross multiply
    152.69x = 227.37 × 148.82
  4. Step 4: Simplify right side
    152.69x = 33,836.46
  5. Step 5: Solve for x
    x = 33,836.46/152.69
  6. Step 6: Final answer
    x = 221.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.