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Finding the Fourth Proportional to 279.16, 385.25 and 154.83

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Solution

The fourth proportional to 279.16, 385.25 and 154.83 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.16 : 385.25 = 154.83 : x
  2. Step 2: Convert to fraction form
    279.16/385.25 = 154.83/x
  3. Step 3: Cross multiply
    279.16x = 385.25 × 154.83
  4. Step 4: Simplify right side
    279.16x = 59,648.26
  5. Step 5: Solve for x
    x = 59,648.26/279.16
  6. Step 6: Final answer
    x = 213.67

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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.