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Finding the Fourth Proportional to 264.75, 366.92 and 260.70

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Solution

The fourth proportional to 264.75, 366.92 and 260.70 is: 361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 366.92 = 260.70 : x
  2. Step 2: Convert to fraction form
    264.75/366.92 = 260.70/x
  3. Step 3: Cross multiply
    264.75x = 366.92 × 260.70
  4. Step 4: Simplify right side
    264.75x = 95,654.74
  5. Step 5: Solve for x
    x = 95,654.74/264.75
  6. Step 6: Final answer
    x = 361.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.