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Finding the Fourth Proportional to 258.79, 357.27 and 188.77

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Solution

The fourth proportional to 258.79, 357.27 and 188.77 is: 260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.79 : 357.27 = 188.77 : x
  2. Step 2: Convert to fraction form
    258.79/357.27 = 188.77/x
  3. Step 3: Cross multiply
    258.79x = 357.27 × 188.77
  4. Step 4: Simplify right side
    258.79x = 67,441.60
  5. Step 5: Solve for x
    x = 67,441.60/258.79
  6. Step 6: Final answer
    x = 260.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.