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Finding the Fourth Proportional to 188.05, 258.30 and 155.23

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Solution

The fourth proportional to 188.05, 258.30 and 155.23 is: 213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.05 : 258.30 = 155.23 : x
  2. Step 2: Convert to fraction form
    188.05/258.30 = 155.23/x
  3. Step 3: Cross multiply
    188.05x = 258.30 × 155.23
  4. Step 4: Simplify right side
    188.05x = 40,095.91
  5. Step 5: Solve for x
    x = 40,095.91/188.05
  6. Step 6: Final answer
    x = 213.22

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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.