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Finding the Fourth Proportional to 265.96, 399.04 and 174.64

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Solution

The fourth proportional to 265.96, 399.04 and 174.64 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 399.04 = 174.64 : x
  2. Step 2: Convert to fraction form
    265.96/399.04 = 174.64/x
  3. Step 3: Cross multiply
    265.96x = 399.04 × 174.64
  4. Step 4: Simplify right side
    265.96x = 69,685.91
  5. Step 5: Solve for x
    x = 69,685.91/265.96
  6. Step 6: Final answer
    x = 262.02

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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.