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Finding the Fourth Proportional to 661.93, 992.91 and 174.96

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Solution

The fourth proportional to 661.93, 992.91 and 174.96 is: 262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.93 : 992.91 = 174.96 : x
  2. Step 2: Convert to fraction form
    661.93/992.91 = 174.96/x
  3. Step 3: Cross multiply
    661.93x = 992.91 × 174.96
  4. Step 4: Simplify right side
    661.93x = 173,719.53
  5. Step 5: Solve for x
    x = 173,719.53/661.93
  6. Step 6: Final answer
    x = 262.44

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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.