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Finding the Fourth Proportional to 571.93, 857.89 and 161.06

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Solution

The fourth proportional to 571.93, 857.89 and 161.06 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.93 : 857.89 = 161.06 : x
  2. Step 2: Convert to fraction form
    571.93/857.89 = 161.06/x
  3. Step 3: Cross multiply
    571.93x = 857.89 × 161.06
  4. Step 4: Simplify right side
    571.93x = 138,173.51
  5. Step 5: Solve for x
    x = 138,173.51/571.93
  6. Step 6: Final answer
    x = 241.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.