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Finding the Fourth Proportional to 377.42, 566.02 and 133.89

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Solution

The fourth proportional to 377.42, 566.02 and 133.89 is: 200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.42 : 566.02 = 133.89 : x
  2. Step 2: Convert to fraction form
    377.42/566.02 = 133.89/x
  3. Step 3: Cross multiply
    377.42x = 566.02 × 133.89
  4. Step 4: Simplify right side
    377.42x = 75,784.42
  5. Step 5: Solve for x
    x = 75,784.42/377.42
  6. Step 6: Final answer
    x = 200.80

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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.