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Finding the Fourth Proportional to 377.19, 565.71 and 103.26

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Solution

The fourth proportional to 377.19, 565.71 and 103.26 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.19 : 565.71 = 103.26 : x
  2. Step 2: Convert to fraction form
    377.19/565.71 = 103.26/x
  3. Step 3: Cross multiply
    377.19x = 565.71 × 103.26
  4. Step 4: Simplify right side
    377.19x = 58,415.21
  5. Step 5: Solve for x
    x = 58,415.21/377.19
  6. Step 6: Final answer
    x = 154.87

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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.