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Finding the Fourth Proportional to 377.03, 565.26 and 182.07

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Solution

The fourth proportional to 377.03, 565.26 and 182.07 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.03 : 565.26 = 182.07 : x
  2. Step 2: Convert to fraction form
    377.03/565.26 = 182.07/x
  3. Step 3: Cross multiply
    377.03x = 565.26 × 182.07
  4. Step 4: Simplify right side
    377.03x = 102,916.89
  5. Step 5: Solve for x
    x = 102,916.89/377.03
  6. Step 6: Final answer
    x = 272.97

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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.