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Finding the Fourth Proportional to 279.50, 385.23 and 192.02

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Solution

The fourth proportional to 279.50, 385.23 and 192.02 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.50 : 385.23 = 192.02 : x
  2. Step 2: Convert to fraction form
    279.50/385.23 = 192.02/x
  3. Step 3: Cross multiply
    279.50x = 385.23 × 192.02
  4. Step 4: Simplify right side
    279.50x = 73,971.86
  5. Step 5: Solve for x
    x = 73,971.86/279.50
  6. Step 6: Final answer
    x = 264.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.