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Finding the Fourth Proportional to 264.81, 365.40 and 182.13

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Solution

The fourth proportional to 264.81, 365.40 and 182.13 is: 251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.81 : 365.40 = 182.13 : x
  2. Step 2: Convert to fraction form
    264.81/365.40 = 182.13/x
  3. Step 3: Cross multiply
    264.81x = 365.40 × 182.13
  4. Step 4: Simplify right side
    264.81x = 66,548.48
  5. Step 5: Solve for x
    x = 66,548.48/264.81
  6. Step 6: Final answer
    x = 251.31

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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.