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Finding the Fourth Proportional to 241.46, 333.12 and 148.04

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Solution

The fourth proportional to 241.46, 333.12 and 148.04 is: 204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.46 : 333.12 = 148.04 : x
  2. Step 2: Convert to fraction form
    241.46/333.12 = 148.04/x
  3. Step 3: Cross multiply
    241.46x = 333.12 × 148.04
  4. Step 4: Simplify right side
    241.46x = 49,315.18
  5. Step 5: Solve for x
    x = 49,315.18/241.46
  6. Step 6: Final answer
    x = 204.24

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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.