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Finding the Fourth Proportional to 152.69, 227.67 and 144.35

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Solution

The fourth proportional to 152.69, 227.67 and 144.35 is: 215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.69 : 227.67 = 144.35 : x
  2. Step 2: Convert to fraction form
    152.69/227.67 = 144.35/x
  3. Step 3: Cross multiply
    152.69x = 227.67 × 144.35
  4. Step 4: Simplify right side
    152.69x = 32,863.03
  5. Step 5: Solve for x
    x = 32,863.03/152.69
  6. Step 6: Final answer
    x = 215.23

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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.