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Finding the Fourth Proportional to 377.98, 566.84 and 146.76

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Solution

The fourth proportional to 377.98, 566.84 and 146.76 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.98 : 566.84 = 146.76 : x
  2. Step 2: Convert to fraction form
    377.98/566.84 = 146.76/x
  3. Step 3: Cross multiply
    377.98x = 566.84 × 146.76
  4. Step 4: Simplify right side
    377.98x = 83,189.44
  5. Step 5: Solve for x
    x = 83,189.44/377.98
  6. Step 6: Final answer
    x = 220.09

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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.