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Finding the Fourth Proportional to 360.72, 541.23 and 178.11

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Solution

The fourth proportional to 360.72, 541.23 and 178.11 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 541.23 = 178.11 : x
  2. Step 2: Convert to fraction form
    360.72/541.23 = 178.11/x
  3. Step 3: Cross multiply
    360.72x = 541.23 × 178.11
  4. Step 4: Simplify right side
    360.72x = 96,397.81
  5. Step 5: Solve for x
    x = 96,397.81/360.72
  6. Step 6: Final answer
    x = 267.24

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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.