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Finding the Fourth Proportional to 193.64, 287.97 and 187.56

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Solution

The fourth proportional to 193.64, 287.97 and 187.56 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 287.97 = 187.56 : x
  2. Step 2: Convert to fraction form
    193.64/287.97 = 187.56/x
  3. Step 3: Cross multiply
    193.64x = 287.97 × 187.56
  4. Step 4: Simplify right side
    193.64x = 54,011.65
  5. Step 5: Solve for x
    x = 54,011.65/193.64
  6. Step 6: Final answer
    x = 278.93

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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.