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Finding the Fourth Proportional to 259.53, 358.16 and 161.31

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Solution

The fourth proportional to 259.53, 358.16 and 161.31 is: 222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.53 : 358.16 = 161.31 : x
  2. Step 2: Convert to fraction form
    259.53/358.16 = 161.31/x
  3. Step 3: Cross multiply
    259.53x = 358.16 × 161.31
  4. Step 4: Simplify right side
    259.53x = 57,774.79
  5. Step 5: Solve for x
    x = 57,774.79/259.53
  6. Step 6: Final answer
    x = 222.61

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Why These Related Problems?

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