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Finding the Fourth Proportional to 265.94, 399.10 and 174.60

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Solution

The fourth proportional to 265.94, 399.10 and 174.60 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.94 : 399.10 = 174.60 : x
  2. Step 2: Convert to fraction form
    265.94/399.10 = 174.60/x
  3. Step 3: Cross multiply
    265.94x = 399.10 × 174.60
  4. Step 4: Simplify right side
    265.94x = 69,682.86
  5. Step 5: Solve for x
    x = 69,682.86/265.94
  6. Step 6: Final answer
    x = 262.02

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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.