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Finding the Fourth Proportional to 377.80, 567.06 and 158.56

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Solution

The fourth proportional to 377.80, 567.06 and 158.56 is: 237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 567.06 = 158.56 : x
  2. Step 2: Convert to fraction form
    377.80/567.06 = 158.56/x
  3. Step 3: Cross multiply
    377.80x = 567.06 × 158.56
  4. Step 4: Simplify right side
    377.80x = 89,913.03
  5. Step 5: Solve for x
    x = 89,913.03/377.80
  6. Step 6: Final answer
    x = 237.99

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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.