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Finding the Fourth Proportional to 188.47, 281.46 and 164.17

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Solution

The fourth proportional to 188.47, 281.46 and 164.17 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.47 : 281.46 = 164.17 : x
  2. Step 2: Convert to fraction form
    188.47/281.46 = 164.17/x
  3. Step 3: Cross multiply
    188.47x = 281.46 × 164.17
  4. Step 4: Simplify right side
    188.47x = 46,207.29
  5. Step 5: Solve for x
    x = 46,207.29/188.47
  6. Step 6: Final answer
    x = 245.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.