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Finding the Fourth Proportional to 377.68, 566.29 and 146.31

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Solution

The fourth proportional to 377.68, 566.29 and 146.31 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.68 : 566.29 = 146.31 : x
  2. Step 2: Convert to fraction form
    377.68/566.29 = 146.31/x
  3. Step 3: Cross multiply
    377.68x = 566.29 × 146.31
  4. Step 4: Simplify right side
    377.68x = 82,853.89
  5. Step 5: Solve for x
    x = 82,853.89/377.68
  6. Step 6: Final answer
    x = 219.38

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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.