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Finding the Fourth Proportional to 662.01, 992.99 and 175.06

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Solution

The fourth proportional to 662.01, 992.99 and 175.06 is: 262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.01 : 992.99 = 175.06 : x
  2. Step 2: Convert to fraction form
    662.01/992.99 = 175.06/x
  3. Step 3: Cross multiply
    662.01x = 992.99 × 175.06
  4. Step 4: Simplify right side
    662.01x = 173,833.85
  5. Step 5: Solve for x
    x = 173,833.85/662.01
  6. Step 6: Final answer
    x = 262.59

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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.