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Finding the Fourth Proportional to 377.35, 565.96 and 146.16

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Solution

The fourth proportional to 377.35, 565.96 and 146.16 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.35 : 565.96 = 146.16 : x
  2. Step 2: Convert to fraction form
    377.35/565.96 = 146.16/x
  3. Step 3: Cross multiply
    377.35x = 565.96 × 146.16
  4. Step 4: Simplify right side
    377.35x = 82,720.71
  5. Step 5: Solve for x
    x = 82,720.71/377.35
  6. Step 6: Final answer
    x = 219.21

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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.