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Finding the Fourth Proportional to 258.90, 357.29 and 165.59

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Solution

The fourth proportional to 258.90, 357.29 and 165.59 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.90 : 357.29 = 165.59 : x
  2. Step 2: Convert to fraction form
    258.90/357.29 = 165.59/x
  3. Step 3: Cross multiply
    258.90x = 357.29 × 165.59
  4. Step 4: Simplify right side
    258.90x = 59,161.04
  5. Step 5: Solve for x
    x = 59,161.04/258.90
  6. Step 6: Final answer
    x = 228.51

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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.