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Finding the Fourth Proportional to 202.94, 304.53 and 123.85

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Solution

The fourth proportional to 202.94, 304.53 and 123.85 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 304.53 = 123.85 : x
  2. Step 2: Convert to fraction form
    202.94/304.53 = 123.85/x
  3. Step 3: Cross multiply
    202.94x = 304.53 × 123.85
  4. Step 4: Simplify right side
    202.94x = 37,716.04
  5. Step 5: Solve for x
    x = 37,716.04/202.94
  6. Step 6: Final answer
    x = 185.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.