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Finding the Fourth Proportional to 263.84, 361.80 and 263.20

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Solution

The fourth proportional to 263.84, 361.80 and 263.20 is: 360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 361.80 = 263.20 : x
  2. Step 2: Convert to fraction form
    263.84/361.80 = 263.20/x
  3. Step 3: Cross multiply
    263.84x = 361.80 × 263.20
  4. Step 4: Simplify right side
    263.84x = 95,225.76
  5. Step 5: Solve for x
    x = 95,225.76/263.84
  6. Step 6: Final answer
    x = 360.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.