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Finding the Fourth Proportional to 265.29, 397.58 and 120.75

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Solution

The fourth proportional to 265.29, 397.58 and 120.75 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.29 : 397.58 = 120.75 : x
  2. Step 2: Convert to fraction form
    265.29/397.58 = 120.75/x
  3. Step 3: Cross multiply
    265.29x = 397.58 × 120.75
  4. Step 4: Simplify right side
    265.29x = 48,007.18
  5. Step 5: Solve for x
    x = 48,007.18/265.29
  6. Step 6: Final answer
    x = 180.96

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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.