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Finding the Fourth Proportional to 253.44, 380.14 and 123.48

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Solution

The fourth proportional to 253.44, 380.14 and 123.48 is: 185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.44 : 380.14 = 123.48 : x
  2. Step 2: Convert to fraction form
    253.44/380.14 = 123.48/x
  3. Step 3: Cross multiply
    253.44x = 380.14 × 123.48
  4. Step 4: Simplify right side
    253.44x = 46,939.69
  5. Step 5: Solve for x
    x = 46,939.69/253.44
  6. Step 6: Final answer
    x = 185.21

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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.