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Finding the Fourth Proportional to 186.01, 277.57 and 162.92

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Solution

The fourth proportional to 186.01, 277.57 and 162.92 is: 243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.01 : 277.57 = 162.92 : x
  2. Step 2: Convert to fraction form
    186.01/277.57 = 162.92/x
  3. Step 3: Cross multiply
    186.01x = 277.57 × 162.92
  4. Step 4: Simplify right side
    186.01x = 45,221.70
  5. Step 5: Solve for x
    x = 45,221.70/186.01
  6. Step 6: Final answer
    x = 243.11

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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.