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Finding the Fourth Proportional to 264.07, 364.48 and 181.14

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Solution

The fourth proportional to 264.07, 364.48 and 181.14 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.07 : 364.48 = 181.14 : x
  2. Step 2: Convert to fraction form
    264.07/364.48 = 181.14/x
  3. Step 3: Cross multiply
    264.07x = 364.48 × 181.14
  4. Step 4: Simplify right side
    264.07x = 66,021.91
  5. Step 5: Solve for x
    x = 66,021.91/264.07
  6. Step 6: Final answer
    x = 250.02

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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.