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Finding the Fourth Proportional to 186.63, 256.96 and 153.83

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Solution

The fourth proportional to 186.63, 256.96 and 153.83 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.63 : 256.96 = 153.83 : x
  2. Step 2: Convert to fraction form
    186.63/256.96 = 153.83/x
  3. Step 3: Cross multiply
    186.63x = 256.96 × 153.83
  4. Step 4: Simplify right side
    186.63x = 39,527.39
  5. Step 5: Solve for x
    x = 39,527.39/186.63
  6. Step 6: Final answer
    x = 211.80

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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.