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Finding the Fourth Proportional to 266.70, 377.85 and 266.70

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Solution

The fourth proportional to 266.70, 377.85 and 266.70 is: 377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.70 : 377.85 = 266.70 : x
  2. Step 2: Convert to fraction form
    266.70/377.85 = 266.70/x
  3. Step 3: Cross multiply
    266.70x = 377.85 × 266.70
  4. Step 4: Simplify right side
    266.70x = 100,772.60
  5. Step 5: Solve for x
    x = 100,772.60/266.70
  6. Step 6: Final answer
    x = 377.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.