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Finding the Fourth Proportional to 360.80, 541.26 and 178.16

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Solution

The fourth proportional to 360.80, 541.26 and 178.16 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.80 : 541.26 = 178.16 : x
  2. Step 2: Convert to fraction form
    360.80/541.26 = 178.16/x
  3. Step 3: Cross multiply
    360.80x = 541.26 × 178.16
  4. Step 4: Simplify right side
    360.80x = 96,430.88
  5. Step 5: Solve for x
    x = 96,430.88/360.80
  6. Step 6: Final answer
    x = 267.27

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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.