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Finding the Fourth Proportional to 656.11, 984.23 and 169.17

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Solution

The fourth proportional to 656.11, 984.23 and 169.17 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.11 : 984.23 = 169.17 : x
  2. Step 2: Convert to fraction form
    656.11/984.23 = 169.17/x
  3. Step 3: Cross multiply
    656.11x = 984.23 × 169.17
  4. Step 4: Simplify right side
    656.11x = 166,502.19
  5. Step 5: Solve for x
    x = 166,502.19/656.11
  6. Step 6: Final answer
    x = 253.77

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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.