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Finding the Fourth Proportional to 193.05, 287.71 and 188.60

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Solution

The fourth proportional to 193.05, 287.71 and 188.60 is: 281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.05 : 287.71 = 188.60 : x
  2. Step 2: Convert to fraction form
    193.05/287.71 = 188.60/x
  3. Step 3: Cross multiply
    193.05x = 287.71 × 188.60
  4. Step 4: Simplify right side
    193.05x = 54,262.11
  5. Step 5: Solve for x
    x = 54,262.11/193.05
  6. Step 6: Final answer
    x = 281.08

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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.