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Finding the Fourth Proportional to 266.30, 367.36 and 192.50

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Solution

The fourth proportional to 266.30, 367.36 and 192.50 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.30 : 367.36 = 192.50 : x
  2. Step 2: Convert to fraction form
    266.30/367.36 = 192.50/x
  3. Step 3: Cross multiply
    266.30x = 367.36 × 192.50
  4. Step 4: Simplify right side
    266.30x = 70,714.48
  5. Step 5: Solve for x
    x = 70,714.48/266.30
  6. Step 6: Final answer
    x = 265.54

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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.