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Finding the Fourth Proportional to 152.25, 227.33 and 129.03

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Solution

The fourth proportional to 152.25, 227.33 and 129.03 is: 192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.25 : 227.33 = 129.03 : x
  2. Step 2: Convert to fraction form
    152.25/227.33 = 129.03/x
  3. Step 3: Cross multiply
    152.25x = 227.33 × 129.03
  4. Step 4: Simplify right side
    152.25x = 29,331.74
  5. Step 5: Solve for x
    x = 29,331.74/152.25
  6. Step 6: Final answer
    x = 192.66

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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.