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Finding the Fourth Proportional to 253.25, 380.01 and 192.75

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Solution

The fourth proportional to 253.25, 380.01 and 192.75 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.25 : 380.01 = 192.75 : x
  2. Step 2: Convert to fraction form
    253.25/380.01 = 192.75/x
  3. Step 3: Cross multiply
    253.25x = 380.01 × 192.75
  4. Step 4: Simplify right side
    253.25x = 73,246.93
  5. Step 5: Solve for x
    x = 73,246.93/253.25
  6. Step 6: Final answer
    x = 289.23

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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.