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Finding the Fourth Proportional to 185.83, 277.16 and 157.14

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Solution

The fourth proportional to 185.83, 277.16 and 157.14 is: 234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.83 : 277.16 = 157.14 : x
  2. Step 2: Convert to fraction form
    185.83/277.16 = 157.14/x
  3. Step 3: Cross multiply
    185.83x = 277.16 × 157.14
  4. Step 4: Simplify right side
    185.83x = 43,552.14
  5. Step 5: Solve for x
    x = 43,552.14/185.83
  6. Step 6: Final answer
    x = 234.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.