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Finding the Fourth Proportional to 253.04, 379.74 and 161.80

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Solution

The fourth proportional to 253.04, 379.74 and 161.80 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.04 : 379.74 = 161.80 : x
  2. Step 2: Convert to fraction form
    253.04/379.74 = 161.80/x
  3. Step 3: Cross multiply
    253.04x = 379.74 × 161.80
  4. Step 4: Simplify right side
    253.04x = 61,441.93
  5. Step 5: Solve for x
    x = 61,441.93/253.04
  6. Step 6: Final answer
    x = 242.82

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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.