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Finding the Fourth Proportional to 259.94, 359.16 and 210.73

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Solution

The fourth proportional to 259.94, 359.16 and 210.73 is: 291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.94 : 359.16 = 210.73 : x
  2. Step 2: Convert to fraction form
    259.94/359.16 = 210.73/x
  3. Step 3: Cross multiply
    259.94x = 359.16 × 210.73
  4. Step 4: Simplify right side
    259.94x = 75,685.79
  5. Step 5: Solve for x
    x = 75,685.79/259.94
  6. Step 6: Final answer
    x = 291.17

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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.