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Finding the Fourth Proportional to 259.20, 357.33 and 160.89

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Solution

The fourth proportional to 259.20, 357.33 and 160.89 is: 221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 357.33 = 160.89 : x
  2. Step 2: Convert to fraction form
    259.20/357.33 = 160.89/x
  3. Step 3: Cross multiply
    259.20x = 357.33 × 160.89
  4. Step 4: Simplify right side
    259.20x = 57,490.82
  5. Step 5: Solve for x
    x = 57,490.82/259.20
  6. Step 6: Final answer
    x = 221.80

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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.