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Finding the Fourth Proportional to 185.34, 276.69 and 154.98

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Solution

The fourth proportional to 185.34, 276.69 and 154.98 is: 231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 276.69 = 154.98 : x
  2. Step 2: Convert to fraction form
    185.34/276.69 = 154.98/x
  3. Step 3: Cross multiply
    185.34x = 276.69 × 154.98
  4. Step 4: Simplify right side
    185.34x = 42,881.42
  5. Step 5: Solve for x
    x = 42,881.42/185.34
  6. Step 6: Final answer
    x = 231.37

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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.