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Finding the Fourth Proportional to 565, 847.56 and 180.26

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Solution

The fourth proportional to 565, 847.56 and 180.26 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 847.56 = 180.26 : x
  2. Step 2: Convert to fraction form
    565/847.56 = 180.26/x
  3. Step 3: Cross multiply
    565x = 847.56 × 180.26
  4. Step 4: Simplify right side
    565x = 152,781.17
  5. Step 5: Solve for x
    x = 152,781.17/565
  6. Step 6: Final answer
    x = 270.41

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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.