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Finding the Fourth Proportional to 264.67, 365.16 and 148.21

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Solution

The fourth proportional to 264.67, 365.16 and 148.21 is: 204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.67 : 365.16 = 148.21 : x
  2. Step 2: Convert to fraction form
    264.67/365.16 = 148.21/x
  3. Step 3: Cross multiply
    264.67x = 365.16 × 148.21
  4. Step 4: Simplify right side
    264.67x = 54,120.36
  5. Step 5: Solve for x
    x = 54,120.36/264.67
  6. Step 6: Final answer
    x = 204.48

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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.