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Finding the Fourth Proportional to 264.99, 365.69 and 146.97

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Solution

The fourth proportional to 264.99, 365.69 and 146.97 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.99 : 365.69 = 146.97 : x
  2. Step 2: Convert to fraction form
    264.99/365.69 = 146.97/x
  3. Step 3: Cross multiply
    264.99x = 365.69 × 146.97
  4. Step 4: Simplify right side
    264.99x = 53,745.46
  5. Step 5: Solve for x
    x = 53,745.46/264.99
  6. Step 6: Final answer
    x = 202.82

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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.