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Finding the Fourth Proportional to 185.74, 277.03 and 157.04

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Solution

The fourth proportional to 185.74, 277.03 and 157.04 is: 234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 277.03 = 157.04 : x
  2. Step 2: Convert to fraction form
    185.74/277.03 = 157.04/x
  3. Step 3: Cross multiply
    185.74x = 277.03 × 157.04
  4. Step 4: Simplify right side
    185.74x = 43,504.79
  5. Step 5: Solve for x
    x = 43,504.79/185.74
  6. Step 6: Final answer
    x = 234.22

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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.