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Finding the Fourth Proportional to 251.24, 377 and 123

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Solution

The fourth proportional to 251.24, 377 and 123 is: 184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.24 : 377 = 123 : x
  2. Step 2: Convert to fraction form
    251.24/377 = 123/x
  3. Step 3: Cross multiply
    251.24x = 377 × 123
  4. Step 4: Simplify right side
    251.24x = 46,371
  5. Step 5: Solve for x
    x = 46,371/251.24
  6. Step 6: Final answer
    x = 184.57

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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.