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Finding the Fourth Proportional to 193.38, 287.86 and 184.53

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Solution

The fourth proportional to 193.38, 287.86 and 184.53 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 287.86 = 184.53 : x
  2. Step 2: Convert to fraction form
    193.38/287.86 = 184.53/x
  3. Step 3: Cross multiply
    193.38x = 287.86 × 184.53
  4. Step 4: Simplify right side
    193.38x = 53,117.83
  5. Step 5: Solve for x
    x = 53,117.83/193.38
  6. Step 6: Final answer
    x = 274.69

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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.