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Finding the Fourth Proportional to 259.67, 358.32 and 160.09

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Solution

The fourth proportional to 259.67, 358.32 and 160.09 is: 220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.67 : 358.32 = 160.09 : x
  2. Step 2: Convert to fraction form
    259.67/358.32 = 160.09/x
  3. Step 3: Cross multiply
    259.67x = 358.32 × 160.09
  4. Step 4: Simplify right side
    259.67x = 57,365.17
  5. Step 5: Solve for x
    x = 57,365.17/259.67
  6. Step 6: Final answer
    x = 220.91

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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.