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Finding the Fourth Proportional to 193.36, 287.60 and 176.04

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Solution

The fourth proportional to 193.36, 287.60 and 176.04 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.36 : 287.60 = 176.04 : x
  2. Step 2: Convert to fraction form
    193.36/287.60 = 176.04/x
  3. Step 3: Cross multiply
    193.36x = 287.60 × 176.04
  4. Step 4: Simplify right side
    193.36x = 50,629.10
  5. Step 5: Solve for x
    x = 50,629.10/193.36
  6. Step 6: Final answer
    x = 261.84

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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.