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Finding the Fourth Proportional to 279.04, 384.78 and 168.49

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Solution

The fourth proportional to 279.04, 384.78 and 168.49 is: 232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.04 : 384.78 = 168.49 : x
  2. Step 2: Convert to fraction form
    279.04/384.78 = 168.49/x
  3. Step 3: Cross multiply
    279.04x = 384.78 × 168.49
  4. Step 4: Simplify right side
    279.04x = 64,831.58
  5. Step 5: Solve for x
    x = 64,831.58/279.04
  6. Step 6: Final answer
    x = 232.34

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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.