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Finding the Fourth Proportional to 279.84, 386.37 and 192.63

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Solution

The fourth proportional to 279.84, 386.37 and 192.63 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 386.37 = 192.63 : x
  2. Step 2: Convert to fraction form
    279.84/386.37 = 192.63/x
  3. Step 3: Cross multiply
    279.84x = 386.37 × 192.63
  4. Step 4: Simplify right side
    279.84x = 74,426.45
  5. Step 5: Solve for x
    x = 74,426.45/279.84
  6. Step 6: Final answer
    x = 265.96

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