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Finding the Fourth Proportional to 265.89, 367.02 and 192.18

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Solution

The fourth proportional to 265.89, 367.02 and 192.18 is: 265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.89 : 367.02 = 192.18 : x
  2. Step 2: Convert to fraction form
    265.89/367.02 = 192.18/x
  3. Step 3: Cross multiply
    265.89x = 367.02 × 192.18
  4. Step 4: Simplify right side
    265.89x = 70,533.90
  5. Step 5: Solve for x
    x = 70,533.90/265.89
  6. Step 6: Final answer
    x = 265.27

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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.