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Finding the Fourth Proportional to 279.50, 385.72 and 163.04

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Solution

The fourth proportional to 279.50, 385.72 and 163.04 is: 225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.50 : 385.72 = 163.04 : x
  2. Step 2: Convert to fraction form
    279.50/385.72 = 163.04/x
  3. Step 3: Cross multiply
    279.50x = 385.72 × 163.04
  4. Step 4: Simplify right side
    279.50x = 62,887.79
  5. Step 5: Solve for x
    x = 62,887.79/279.50
  6. Step 6: Final answer
    x = 225.00

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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.