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Finding the Fourth Proportional to 251.40, 346.44 and 185.92

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Solution

The fourth proportional to 251.40, 346.44 and 185.92 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 346.44 = 185.92 : x
  2. Step 2: Convert to fraction form
    251.40/346.44 = 185.92/x
  3. Step 3: Cross multiply
    251.40x = 346.44 × 185.92
  4. Step 4: Simplify right side
    251.40x = 64,410.12
  5. Step 5: Solve for x
    x = 64,410.12/251.40
  6. Step 6: Final answer
    x = 256.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.