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Finding the Fourth Proportional to 253.34, 379.49 and 161.81

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Solution

The fourth proportional to 253.34, 379.49 and 161.81 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.34 : 379.49 = 161.81 : x
  2. Step 2: Convert to fraction form
    253.34/379.49 = 161.81/x
  3. Step 3: Cross multiply
    253.34x = 379.49 × 161.81
  4. Step 4: Simplify right side
    253.34x = 61,403.38
  5. Step 5: Solve for x
    x = 61,403.38/253.34
  6. Step 6: Final answer
    x = 242.38

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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.