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Finding the Fourth Proportional to 264.29, 364.37 and 205.16

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Solution

The fourth proportional to 264.29, 364.37 and 205.16 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.29 : 364.37 = 205.16 : x
  2. Step 2: Convert to fraction form
    264.29/364.37 = 205.16/x
  3. Step 3: Cross multiply
    264.29x = 364.37 × 205.16
  4. Step 4: Simplify right side
    264.29x = 74,751.30
  5. Step 5: Solve for x
    x = 74,751.30/264.29
  6. Step 6: Final answer
    x = 282.84

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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.