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Finding the Fourth Proportional to 264.63, 397.24 and 120.34

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Solution

The fourth proportional to 264.63, 397.24 and 120.34 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.63 : 397.24 = 120.34 : x
  2. Step 2: Convert to fraction form
    264.63/397.24 = 120.34/x
  3. Step 3: Cross multiply
    264.63x = 397.24 × 120.34
  4. Step 4: Simplify right side
    264.63x = 47,803.86
  5. Step 5: Solve for x
    x = 47,803.86/264.63
  6. Step 6: Final answer
    x = 180.64

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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.