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Finding the Fourth Proportional to 360.70, 541.08 and 178.13

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Solution

The fourth proportional to 360.70, 541.08 and 178.13 is: 267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 541.08 = 178.13 : x
  2. Step 2: Convert to fraction form
    360.70/541.08 = 178.13/x
  3. Step 3: Cross multiply
    360.70x = 541.08 × 178.13
  4. Step 4: Simplify right side
    360.70x = 96,383.93
  5. Step 5: Solve for x
    x = 96,383.93/360.70
  6. Step 6: Final answer
    x = 267.22

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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.