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Finding the Fourth Proportional to 377.55, 565.53 and 182.27

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Solution

The fourth proportional to 377.55, 565.53 and 182.27 is: 273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 565.53 = 182.27 : x
  2. Step 2: Convert to fraction form
    377.55/565.53 = 182.27/x
  3. Step 3: Cross multiply
    377.55x = 565.53 × 182.27
  4. Step 4: Simplify right side
    377.55x = 103,079.15
  5. Step 5: Solve for x
    x = 103,079.15/377.55
  6. Step 6: Final answer
    x = 273.02

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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.