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Finding the Fourth Proportional to 258.92, 357.64 and 188.86

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Solution

The fourth proportional to 258.92, 357.64 and 188.86 is: 260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 357.64 = 188.86 : x
  2. Step 2: Convert to fraction form
    258.92/357.64 = 188.86/x
  3. Step 3: Cross multiply
    258.92x = 357.64 × 188.86
  4. Step 4: Simplify right side
    258.92x = 67,543.89
  5. Step 5: Solve for x
    x = 67,543.89/258.92
  6. Step 6: Final answer
    x = 260.87

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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.