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Finding the Fourth Proportional to 264.78, 365.41 and 146.76

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Solution

The fourth proportional to 264.78, 365.41 and 146.76 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.78 : 365.41 = 146.76 : x
  2. Step 2: Convert to fraction form
    264.78/365.41 = 146.76/x
  3. Step 3: Cross multiply
    264.78x = 365.41 × 146.76
  4. Step 4: Simplify right side
    264.78x = 53,629.20
  5. Step 5: Solve for x
    x = 53,629.20/264.78
  6. Step 6: Final answer
    x = 202.54

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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.