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Finding the Fourth Proportional to 193.51, 288.98 and 182.98

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Solution

The fourth proportional to 193.51, 288.98 and 182.98 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.51 : 288.98 = 182.98 : x
  2. Step 2: Convert to fraction form
    193.51/288.98 = 182.98/x
  3. Step 3: Cross multiply
    193.51x = 288.98 × 182.98
  4. Step 4: Simplify right side
    193.51x = 52,876.12
  5. Step 5: Solve for x
    x = 52,876.12/193.51
  6. Step 6: Final answer
    x = 273.25

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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.