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Finding the Fourth Proportional to 377.85, 567.13 and 161.58

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Solution

The fourth proportional to 377.85, 567.13 and 161.58 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.85 : 567.13 = 161.58 : x
  2. Step 2: Convert to fraction form
    377.85/567.13 = 161.58/x
  3. Step 3: Cross multiply
    377.85x = 567.13 × 161.58
  4. Step 4: Simplify right side
    377.85x = 91,636.06
  5. Step 5: Solve for x
    x = 91,636.06/377.85
  6. Step 6: Final answer
    x = 242.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.