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Finding the Fourth Proportional to 188.89, 258.89 and 188.57

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Solution

The fourth proportional to 188.89, 258.89 and 188.57 is: 258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.89 : 258.89 = 188.57 : x
  2. Step 2: Convert to fraction form
    188.89/258.89 = 188.57/x
  3. Step 3: Cross multiply
    188.89x = 258.89 × 188.57
  4. Step 4: Simplify right side
    188.89x = 48,818.59
  5. Step 5: Solve for x
    x = 48,818.59/188.89
  6. Step 6: Final answer
    x = 258.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.