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Finding the Fourth Proportional to 258.15, 386.93 and 111.86

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Solution

The fourth proportional to 258.15, 386.93 and 111.86 is: 167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.15 : 386.93 = 111.86 : x
  2. Step 2: Convert to fraction form
    258.15/386.93 = 111.86/x
  3. Step 3: Cross multiply
    258.15x = 386.93 × 111.86
  4. Step 4: Simplify right side
    258.15x = 43,279.50
  5. Step 5: Solve for x
    x = 43,279.50/258.15
  6. Step 6: Final answer
    x = 167.65

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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.