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Finding the Fourth Proportional to 241.99, 334.02 and 180.01

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Solution

The fourth proportional to 241.99, 334.02 and 180.01 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.99 : 334.02 = 180.01 : x
  2. Step 2: Convert to fraction form
    241.99/334.02 = 180.01/x
  3. Step 3: Cross multiply
    241.99x = 334.02 × 180.01
  4. Step 4: Simplify right side
    241.99x = 60,126.94
  5. Step 5: Solve for x
    x = 60,126.94/241.99
  6. Step 6: Final answer
    x = 248.47

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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.