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Finding the Fourth Proportional to 377.94, 566.82 and 146.71

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Solution

The fourth proportional to 377.94, 566.82 and 146.71 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 566.82 = 146.71 : x
  2. Step 2: Convert to fraction form
    377.94/566.82 = 146.71/x
  3. Step 3: Cross multiply
    377.94x = 566.82 × 146.71
  4. Step 4: Simplify right side
    377.94x = 83,158.16
  5. Step 5: Solve for x
    x = 83,158.16/377.94
  6. Step 6: Final answer
    x = 220.03

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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.