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Finding the Fourth Proportional to 264.89, 365.16 and 185.96

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Solution

The fourth proportional to 264.89, 365.16 and 185.96 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.89 : 365.16 = 185.96 : x
  2. Step 2: Convert to fraction form
    264.89/365.16 = 185.96/x
  3. Step 3: Cross multiply
    264.89x = 365.16 × 185.96
  4. Step 4: Simplify right side
    264.89x = 67,905.15
  5. Step 5: Solve for x
    x = 67,905.15/264.89
  6. Step 6: Final answer
    x = 256.35

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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.