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Finding the Fourth Proportional to 185.80, 277.61 and 157

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Solution

The fourth proportional to 185.80, 277.61 and 157 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 277.61 = 157 : x
  2. Step 2: Convert to fraction form
    185.80/277.61 = 157/x
  3. Step 3: Cross multiply
    185.80x = 277.61 × 157
  4. Step 4: Simplify right side
    185.80x = 43,584.77
  5. Step 5: Solve for x
    x = 43,584.77/185.80
  6. Step 6: Final answer
    x = 234.58

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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.