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Finding the Fourth Proportional to 193.14, 288.99 and 152.15

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Solution

The fourth proportional to 193.14, 288.99 and 152.15 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 288.99 = 152.15 : x
  2. Step 2: Convert to fraction form
    193.14/288.99 = 152.15/x
  3. Step 3: Cross multiply
    193.14x = 288.99 × 152.15
  4. Step 4: Simplify right side
    193.14x = 43,968.38
  5. Step 5: Solve for x
    x = 43,968.38/193.14
  6. Step 6: Final answer
    x = 227.65

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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.