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Finding the Fourth Proportional to 377.07, 566.68 and 223.03

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Solution

The fourth proportional to 377.07, 566.68 and 223.03 is: 335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.07 : 566.68 = 223.03 : x
  2. Step 2: Convert to fraction form
    377.07/566.68 = 223.03/x
  3. Step 3: Cross multiply
    377.07x = 566.68 × 223.03
  4. Step 4: Simplify right side
    377.07x = 126,384.67
  5. Step 5: Solve for x
    x = 126,384.67/377.07
  6. Step 6: Final answer
    x = 335.17

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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.