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Finding the Fourth Proportional to 279.16, 384.81 and 234.88

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Solution

The fourth proportional to 279.16, 384.81 and 234.88 is: 323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.16 : 384.81 = 234.88 : x
  2. Step 2: Convert to fraction form
    279.16/384.81 = 234.88/x
  3. Step 3: Cross multiply
    279.16x = 384.81 × 234.88
  4. Step 4: Simplify right side
    279.16x = 90,384.17
  5. Step 5: Solve for x
    x = 90,384.17/279.16
  6. Step 6: Final answer
    x = 323.77

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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.