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Finding the Fourth Proportional to 259.23, 387.06 and 213.66

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Solution

The fourth proportional to 259.23, 387.06 and 213.66 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 387.06 = 213.66 : x
  2. Step 2: Convert to fraction form
    259.23/387.06 = 213.66/x
  3. Step 3: Cross multiply
    259.23x = 387.06 × 213.66
  4. Step 4: Simplify right side
    259.23x = 82,699.24
  5. Step 5: Solve for x
    x = 82,699.24/259.23
  6. Step 6: Final answer
    x = 319.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.