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Finding the Fourth Proportional to 259.42, 358.05 and 233.14

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Solution

The fourth proportional to 259.42, 358.05 and 233.14 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 358.05 = 233.14 : x
  2. Step 2: Convert to fraction form
    259.42/358.05 = 233.14/x
  3. Step 3: Cross multiply
    259.42x = 358.05 × 233.14
  4. Step 4: Simplify right side
    259.42x = 83,475.78
  5. Step 5: Solve for x
    x = 83,475.78/259.42
  6. Step 6: Final answer
    x = 321.78

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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.