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Finding the Fourth Proportional to 185.98, 277.37 and 184.16

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Solution

The fourth proportional to 185.98, 277.37 and 184.16 is: 274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.98 : 277.37 = 184.16 : x
  2. Step 2: Convert to fraction form
    185.98/277.37 = 184.16/x
  3. Step 3: Cross multiply
    185.98x = 277.37 × 184.16
  4. Step 4: Simplify right side
    185.98x = 51,080.46
  5. Step 5: Solve for x
    x = 51,080.46/185.98
  6. Step 6: Final answer
    x = 274.66

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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.