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Finding the Fourth Proportional to 264.80, 365.42 and 148.36

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Solution

The fourth proportional to 264.80, 365.42 and 148.36 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 365.42 = 148.36 : x
  2. Step 2: Convert to fraction form
    264.80/365.42 = 148.36/x
  3. Step 3: Cross multiply
    264.80x = 365.42 × 148.36
  4. Step 4: Simplify right side
    264.80x = 54,213.71
  5. Step 5: Solve for x
    x = 54,213.71/264.80
  6. Step 6: Final answer
    x = 204.73

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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.