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Finding the Fourth Proportional to 377.54, 566.57 and 185.06

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Solution

The fourth proportional to 377.54, 566.57 and 185.06 is: 277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.54 : 566.57 = 185.06 : x
  2. Step 2: Convert to fraction form
    377.54/566.57 = 185.06/x
  3. Step 3: Cross multiply
    377.54x = 566.57 × 185.06
  4. Step 4: Simplify right side
    377.54x = 104,849.44
  5. Step 5: Solve for x
    x = 104,849.44/377.54
  6. Step 6: Final answer
    x = 277.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.