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Finding the Fourth Proportional to 193.16, 288.64 and 182.90

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Solution

The fourth proportional to 193.16, 288.64 and 182.90 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.16 : 288.64 = 182.90 : x
  2. Step 2: Convert to fraction form
    193.16/288.64 = 182.90/x
  3. Step 3: Cross multiply
    193.16x = 288.64 × 182.90
  4. Step 4: Simplify right side
    193.16x = 52,792.26
  5. Step 5: Solve for x
    x = 52,792.26/193.16
  6. Step 6: Final answer
    x = 273.31

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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.