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Finding the Fourth Proportional to 186.00, 277.93 and 141.83

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Solution

The fourth proportional to 186.00, 277.93 and 141.83 is: 211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.00 : 277.93 = 141.83 : x
  2. Step 2: Convert to fraction form
    186.00/277.93 = 141.83/x
  3. Step 3: Cross multiply
    186.00x = 277.93 × 141.83
  4. Step 4: Simplify right side
    186.00x = 39,418.81
  5. Step 5: Solve for x
    x = 39,418.81/186.00
  6. Step 6: Final answer
    x = 211.93

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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.