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Finding the Fourth Proportional to 180.99, 269.97 and 152.28

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Solution

The fourth proportional to 180.99, 269.97 and 152.28 is: 227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.99 : 269.97 = 152.28 : x
  2. Step 2: Convert to fraction form
    180.99/269.97 = 152.28/x
  3. Step 3: Cross multiply
    180.99x = 269.97 × 152.28
  4. Step 4: Simplify right side
    180.99x = 41,111.03
  5. Step 5: Solve for x
    x = 41,111.03/180.99
  6. Step 6: Final answer
    x = 227.15

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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.