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Finding the Fourth Proportional to 265.03, 397.60 and 120.75

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Solution

The fourth proportional to 265.03, 397.60 and 120.75 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.03 : 397.60 = 120.75 : x
  2. Step 2: Convert to fraction form
    265.03/397.60 = 120.75/x
  3. Step 3: Cross multiply
    265.03x = 397.60 × 120.75
  4. Step 4: Simplify right side
    265.03x = 48,010.20
  5. Step 5: Solve for x
    x = 48,010.20/265.03
  6. Step 6: Final answer
    x = 181.15

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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.