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Finding the Fourth Proportional to 279.53, 385.49 and 192.23

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Solution

The fourth proportional to 279.53, 385.49 and 192.23 is: 265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.53 : 385.49 = 192.23 : x
  2. Step 2: Convert to fraction form
    279.53/385.49 = 192.23/x
  3. Step 3: Cross multiply
    279.53x = 385.49 × 192.23
  4. Step 4: Simplify right side
    279.53x = 74,102.74
  5. Step 5: Solve for x
    x = 74,102.74/279.53
  6. Step 6: Final answer
    x = 265.10

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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.