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Finding the Fourth Proportional to 259.68, 389.76 and 214.08

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Solution

The fourth proportional to 259.68, 389.76 and 214.08 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.68 : 389.76 = 214.08 : x
  2. Step 2: Convert to fraction form
    259.68/389.76 = 214.08/x
  3. Step 3: Cross multiply
    259.68x = 389.76 × 214.08
  4. Step 4: Simplify right side
    259.68x = 83,439.82
  5. Step 5: Solve for x
    x = 83,439.82/259.68
  6. Step 6: Final answer
    x = 321.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.