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Finding the Fourth Proportional to 186.42, 256.69 and 159.99

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Solution

The fourth proportional to 186.42, 256.69 and 159.99 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 256.69 = 159.99 : x
  2. Step 2: Convert to fraction form
    186.42/256.69 = 159.99/x
  3. Step 3: Cross multiply
    186.42x = 256.69 × 159.99
  4. Step 4: Simplify right side
    186.42x = 41,067.83
  5. Step 5: Solve for x
    x = 41,067.83/186.42
  6. Step 6: Final answer
    x = 220.30

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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.