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Finding the Fourth Proportional to 264.59, 364.83 and 215.37

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Solution

The fourth proportional to 264.59, 364.83 and 215.37 is: 296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.59 : 364.83 = 215.37 : x
  2. Step 2: Convert to fraction form
    264.59/364.83 = 215.37/x
  3. Step 3: Cross multiply
    264.59x = 364.83 × 215.37
  4. Step 4: Simplify right side
    264.59x = 78,573.44
  5. Step 5: Solve for x
    x = 78,573.44/264.59
  6. Step 6: Final answer
    x = 296.97

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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.