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Finding the Fourth Proportional to 565.10, 847.74 and 180.26

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Solution

The fourth proportional to 565.10, 847.74 and 180.26 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.10 : 847.74 = 180.26 : x
  2. Step 2: Convert to fraction form
    565.10/847.74 = 180.26/x
  3. Step 3: Cross multiply
    565.10x = 847.74 × 180.26
  4. Step 4: Simplify right side
    565.10x = 152,813.61
  5. Step 5: Solve for x
    x = 152,813.61/565.10
  6. Step 6: Final answer
    x = 270.42

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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.