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Finding the Fourth Proportional to 175.98, 264.10 and 174.64

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Solution

The fourth proportional to 175.98, 264.10 and 174.64 is: 262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.98 : 264.10 = 174.64 : x
  2. Step 2: Convert to fraction form
    175.98/264.10 = 174.64/x
  3. Step 3: Cross multiply
    175.98x = 264.10 × 174.64
  4. Step 4: Simplify right side
    175.98x = 46,122.42
  5. Step 5: Solve for x
    x = 46,122.42/175.98
  6. Step 6: Final answer
    x = 262.09

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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.