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Finding the Fourth Proportional to 279.04, 384.93 and 180.77

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Solution

The fourth proportional to 279.04, 384.93 and 180.77 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.04 : 384.93 = 180.77 : x
  2. Step 2: Convert to fraction form
    279.04/384.93 = 180.77/x
  3. Step 3: Cross multiply
    279.04x = 384.93 × 180.77
  4. Step 4: Simplify right side
    279.04x = 69,583.80
  5. Step 5: Solve for x
    x = 69,583.80/279.04
  6. Step 6: Final answer
    x = 249.37

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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.