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Finding the Fourth Proportional to 293.76, 441.12 and 180.48

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Solution

The fourth proportional to 293.76, 441.12 and 180.48 is: 271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 441.12 = 180.48 : x
  2. Step 2: Convert to fraction form
    293.76/441.12 = 180.48/x
  3. Step 3: Cross multiply
    293.76x = 441.12 × 180.48
  4. Step 4: Simplify right side
    293.76x = 79,613.34
  5. Step 5: Solve for x
    x = 79,613.34/293.76
  6. Step 6: Final answer
    x = 271.01

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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.