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Finding the Fourth Proportional to 265.81, 366.59 and 182.78

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Solution

The fourth proportional to 265.81, 366.59 and 182.78 is: 252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.81 : 366.59 = 182.78 : x
  2. Step 2: Convert to fraction form
    265.81/366.59 = 182.78/x
  3. Step 3: Cross multiply
    265.81x = 366.59 × 182.78
  4. Step 4: Simplify right side
    265.81x = 67,004.41
  5. Step 5: Solve for x
    x = 67,004.41/265.81
  6. Step 6: Final answer
    x = 252.08

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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.