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Finding the Fourth Proportional to 241.35, 333.05 and 130.82

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Solution

The fourth proportional to 241.35, 333.05 and 130.82 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.35 : 333.05 = 130.82 : x
  2. Step 2: Convert to fraction form
    241.35/333.05 = 130.82/x
  3. Step 3: Cross multiply
    241.35x = 333.05 × 130.82
  4. Step 4: Simplify right side
    241.35x = 43,569.51
  5. Step 5: Solve for x
    x = 43,569.51/241.35
  6. Step 6: Final answer
    x = 180.53

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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.