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Finding the Fourth Proportional to 188.18, 258.93 and 155.22

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Solution

The fourth proportional to 188.18, 258.93 and 155.22 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.18 : 258.93 = 155.22 : x
  2. Step 2: Convert to fraction form
    188.18/258.93 = 155.22/x
  3. Step 3: Cross multiply
    188.18x = 258.93 × 155.22
  4. Step 4: Simplify right side
    188.18x = 40,191.11
  5. Step 5: Solve for x
    x = 40,191.11/188.18
  6. Step 6: Final answer
    x = 213.58

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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.