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Finding the Fourth Proportional to 259.84, 359.04 and 213.76

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Solution

The fourth proportional to 259.84, 359.04 and 213.76 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 359.04 = 213.76 : x
  2. Step 2: Convert to fraction form
    259.84/359.04 = 213.76/x
  3. Step 3: Cross multiply
    259.84x = 359.04 × 213.76
  4. Step 4: Simplify right side
    259.84x = 76,748.39
  5. Step 5: Solve for x
    x = 76,748.39/259.84
  6. Step 6: Final answer
    x = 295.37

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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.