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Finding the Fourth Proportional to 253.67, 380.16 and 123.49

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Solution

The fourth proportional to 253.67, 380.16 and 123.49 is: 185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.67 : 380.16 = 123.49 : x
  2. Step 2: Convert to fraction form
    253.67/380.16 = 123.49/x
  3. Step 3: Cross multiply
    253.67x = 380.16 × 123.49
  4. Step 4: Simplify right side
    253.67x = 46,945.96
  5. Step 5: Solve for x
    x = 46,945.96/253.67
  6. Step 6: Final answer
    x = 185.07

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Why These Related Problems?

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