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Finding the Fourth Proportional to 377.24, 565.84 and 160.66

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Solution

The fourth proportional to 377.24, 565.84 and 160.66 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.24 : 565.84 = 160.66 : x
  2. Step 2: Convert to fraction form
    377.24/565.84 = 160.66/x
  3. Step 3: Cross multiply
    377.24x = 565.84 × 160.66
  4. Step 4: Simplify right side
    377.24x = 90,907.85
  5. Step 5: Solve for x
    x = 90,907.85/377.24
  6. Step 6: Final answer
    x = 240.98

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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.