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Finding the Fourth Proportional to 279.70, 385.50 and 192.22

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Solution

The fourth proportional to 279.70, 385.50 and 192.22 is: 264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 385.50 = 192.22 : x
  2. Step 2: Convert to fraction form
    279.70/385.50 = 192.22/x
  3. Step 3: Cross multiply
    279.70x = 385.50 × 192.22
  4. Step 4: Simplify right side
    279.70x = 74,100.81
  5. Step 5: Solve for x
    x = 74,100.81/279.70
  6. Step 6: Final answer
    x = 264.93

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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.