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Finding the Fourth Proportional to 377.64, 566.57 and 158.15

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Solution

The fourth proportional to 377.64, 566.57 and 158.15 is: 237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.64 : 566.57 = 158.15 : x
  2. Step 2: Convert to fraction form
    377.64/566.57 = 158.15/x
  3. Step 3: Cross multiply
    377.64x = 566.57 × 158.15
  4. Step 4: Simplify right side
    377.64x = 89,603.67
  5. Step 5: Solve for x
    x = 89,603.67/377.64
  6. Step 6: Final answer
    x = 237.27

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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.