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Finding the Fourth Proportional to 188.49, 259.61 and 155.73

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Solution

The fourth proportional to 188.49, 259.61 and 155.73 is: 214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.49 : 259.61 = 155.73 : x
  2. Step 2: Convert to fraction form
    188.49/259.61 = 155.73/x
  3. Step 3: Cross multiply
    188.49x = 259.61 × 155.73
  4. Step 4: Simplify right side
    188.49x = 40,428.29
  5. Step 5: Solve for x
    x = 40,428.29/188.49
  6. Step 6: Final answer
    x = 214.49

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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.