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Finding the Fourth Proportional to 265.10, 396.99 and 173.70

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Solution

The fourth proportional to 265.10, 396.99 and 173.70 is: 260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.10 : 396.99 = 173.70 : x
  2. Step 2: Convert to fraction form
    265.10/396.99 = 173.70/x
  3. Step 3: Cross multiply
    265.10x = 396.99 × 173.70
  4. Step 4: Simplify right side
    265.10x = 68,957.16
  5. Step 5: Solve for x
    x = 68,957.16/265.10
  6. Step 6: Final answer
    x = 260.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.