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Finding the Fourth Proportional to 377.89, 566.74 and 146.77

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Solution

The fourth proportional to 377.89, 566.74 and 146.77 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.89 : 566.74 = 146.77 : x
  2. Step 2: Convert to fraction form
    377.89/566.74 = 146.77/x
  3. Step 3: Cross multiply
    377.89x = 566.74 × 146.77
  4. Step 4: Simplify right side
    377.89x = 83,180.43
  5. Step 5: Solve for x
    x = 83,180.43/377.89
  6. Step 6: Final answer
    x = 220.12

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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.