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Finding the Fourth Proportional to 265.95, 366.51 and 192.14

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Solution

The fourth proportional to 265.95, 366.51 and 192.14 is: 264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.95 : 366.51 = 192.14 : x
  2. Step 2: Convert to fraction form
    265.95/366.51 = 192.14/x
  3. Step 3: Cross multiply
    265.95x = 366.51 × 192.14
  4. Step 4: Simplify right side
    265.95x = 70,421.23
  5. Step 5: Solve for x
    x = 70,421.23/265.95
  6. Step 6: Final answer
    x = 264.79

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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.