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Finding the Fourth Proportional to 377.29, 565.96 and 103.40

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Solution

The fourth proportional to 377.29, 565.96 and 103.40 is: 155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.29 : 565.96 = 103.40 : x
  2. Step 2: Convert to fraction form
    377.29/565.96 = 103.40/x
  3. Step 3: Cross multiply
    377.29x = 565.96 × 103.40
  4. Step 4: Simplify right side
    377.29x = 58,520.26
  5. Step 5: Solve for x
    x = 58,520.26/377.29
  6. Step 6: Final answer
    x = 155.11

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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.