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Finding the Fourth Proportional to 259.72, 358.49 and 161.57

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Solution

The fourth proportional to 259.72, 358.49 and 161.57 is: 223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.72 : 358.49 = 161.57 : x
  2. Step 2: Convert to fraction form
    259.72/358.49 = 161.57/x
  3. Step 3: Cross multiply
    259.72x = 358.49 × 161.57
  4. Step 4: Simplify right side
    259.72x = 57,921.23
  5. Step 5: Solve for x
    x = 57,921.23/259.72
  6. Step 6: Final answer
    x = 223.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.