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Finding the Fourth Proportional to 377.60, 564.96 and 206.72

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Solution

The fourth proportional to 377.60, 564.96 and 206.72 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.60 : 564.96 = 206.72 : x
  2. Step 2: Convert to fraction form
    377.60/564.96 = 206.72/x
  3. Step 3: Cross multiply
    377.60x = 564.96 × 206.72
  4. Step 4: Simplify right side
    377.60x = 116,788.53
  5. Step 5: Solve for x
    x = 116,788.53/377.60
  6. Step 6: Final answer
    x = 309.29

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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.