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Finding the Fourth Proportional to 264.80, 365.04 and 185.87

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Solution

The fourth proportional to 264.80, 365.04 and 185.87 is: 256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 365.04 = 185.87 : x
  2. Step 2: Convert to fraction form
    264.80/365.04 = 185.87/x
  3. Step 3: Cross multiply
    264.80x = 365.04 × 185.87
  4. Step 4: Simplify right side
    264.80x = 67,849.98
  5. Step 5: Solve for x
    x = 67,849.98/264.80
  6. Step 6: Final answer
    x = 256.23

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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.