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Finding the Fourth Proportional to 253.26, 380.50 and 162.14

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Solution

The fourth proportional to 253.26, 380.50 and 162.14 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.26 : 380.50 = 162.14 : x
  2. Step 2: Convert to fraction form
    253.26/380.50 = 162.14/x
  3. Step 3: Cross multiply
    253.26x = 380.50 × 162.14
  4. Step 4: Simplify right side
    253.26x = 61,692.37
  5. Step 5: Solve for x
    x = 61,692.37/253.26
  6. Step 6: Final answer
    x = 243.59

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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.