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Finding the Fourth Proportional to 265.86, 366.65 and 188.26

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Solution

The fourth proportional to 265.86, 366.65 and 188.26 is: 259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 366.65 = 188.26 : x
  2. Step 2: Convert to fraction form
    265.86/366.65 = 188.26/x
  3. Step 3: Cross multiply
    265.86x = 366.65 × 188.26
  4. Step 4: Simplify right side
    265.86x = 69,025.53
  5. Step 5: Solve for x
    x = 69,025.53/265.86
  6. Step 6: Final answer
    x = 259.63

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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.