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Finding the Fourth Proportional to 279.67, 385.83 and 214.06

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Solution

The fourth proportional to 279.67, 385.83 and 214.06 is: 295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.67 : 385.83 = 214.06 : x
  2. Step 2: Convert to fraction form
    279.67/385.83 = 214.06/x
  3. Step 3: Cross multiply
    279.67x = 385.83 × 214.06
  4. Step 4: Simplify right side
    279.67x = 82,590.77
  5. Step 5: Solve for x
    x = 82,590.77/279.67
  6. Step 6: Final answer
    x = 295.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.