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Finding the Fourth Proportional to 259.07, 357.28 and 174.89

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Solution

The fourth proportional to 259.07, 357.28 and 174.89 is: 241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.07 : 357.28 = 174.89 : x
  2. Step 2: Convert to fraction form
    259.07/357.28 = 174.89/x
  3. Step 3: Cross multiply
    259.07x = 357.28 × 174.89
  4. Step 4: Simplify right side
    259.07x = 62,485.16
  5. Step 5: Solve for x
    x = 62,485.16/259.07
  6. Step 6: Final answer
    x = 241.19

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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.