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Finding the Fourth Proportional to 186.01, 277.71 and 164.14

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Solution

The fourth proportional to 186.01, 277.71 and 164.14 is: 245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.01 : 277.71 = 164.14 : x
  2. Step 2: Convert to fraction form
    186.01/277.71 = 164.14/x
  3. Step 3: Cross multiply
    186.01x = 277.71 × 164.14
  4. Step 4: Simplify right side
    186.01x = 45,583.32
  5. Step 5: Solve for x
    x = 45,583.32/186.01
  6. Step 6: Final answer
    x = 245.06

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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.