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Finding the Fourth Proportional to 241.34, 333.23 and 148.21

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Solution

The fourth proportional to 241.34, 333.23 and 148.21 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.34 : 333.23 = 148.21 : x
  2. Step 2: Convert to fraction form
    241.34/333.23 = 148.21/x
  3. Step 3: Cross multiply
    241.34x = 333.23 × 148.21
  4. Step 4: Simplify right side
    241.34x = 49,386.44
  5. Step 5: Solve for x
    x = 49,386.44/241.34
  6. Step 6: Final answer
    x = 204.64

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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.