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Finding the Fourth Proportional to 265.68, 366.28 and 192.01

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Solution

The fourth proportional to 265.68, 366.28 and 192.01 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 366.28 = 192.01 : x
  2. Step 2: Convert to fraction form
    265.68/366.28 = 192.01/x
  3. Step 3: Cross multiply
    265.68x = 366.28 × 192.01
  4. Step 4: Simplify right side
    265.68x = 70,329.42
  5. Step 5: Solve for x
    x = 70,329.42/265.68
  6. Step 6: Final answer
    x = 264.71

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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.