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Finding the Fourth Proportional to 264.33, 364.53 and 181.28

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Solution

The fourth proportional to 264.33, 364.53 and 181.28 is: 249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.33 : 364.53 = 181.28 : x
  2. Step 2: Convert to fraction form
    264.33/364.53 = 181.28/x
  3. Step 3: Cross multiply
    264.33x = 364.53 × 181.28
  4. Step 4: Simplify right side
    264.33x = 66,080.18
  5. Step 5: Solve for x
    x = 66,080.18/264.33
  6. Step 6: Final answer
    x = 249.99

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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.