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Finding the Fourth Proportional to 377.39, 566.13 and 146.23

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Solution

The fourth proportional to 377.39, 566.13 and 146.23 is: 219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.39 : 566.13 = 146.23 : x
  2. Step 2: Convert to fraction form
    377.39/566.13 = 146.23/x
  3. Step 3: Cross multiply
    377.39x = 566.13 × 146.23
  4. Step 4: Simplify right side
    377.39x = 82,785.19
  5. Step 5: Solve for x
    x = 82,785.19/377.39
  6. Step 6: Final answer
    x = 219.36

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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.