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Finding the Fourth Proportional to 185.80, 256.04 and 156.22

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Solution

The fourth proportional to 185.80, 256.04 and 156.22 is: 215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 256.04 = 156.22 : x
  2. Step 2: Convert to fraction form
    185.80/256.04 = 156.22/x
  3. Step 3: Cross multiply
    185.80x = 256.04 × 156.22
  4. Step 4: Simplify right side
    185.80x = 39,998.57
  5. Step 5: Solve for x
    x = 39,998.57/185.80
  6. Step 6: Final answer
    x = 215.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.