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Finding the Fourth Proportional to 265.68, 366.12 and 187.92

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Solution

The fourth proportional to 265.68, 366.12 and 187.92 is: 258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 366.12 = 187.92 : x
  2. Step 2: Convert to fraction form
    265.68/366.12 = 187.92/x
  3. Step 3: Cross multiply
    265.68x = 366.12 × 187.92
  4. Step 4: Simplify right side
    265.68x = 68,801.27
  5. Step 5: Solve for x
    x = 68,801.27/265.68
  6. Step 6: Final answer
    x = 258.96

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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.