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Finding the Fourth Proportional to 259.81, 358.70 and 166.59

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Solution

The fourth proportional to 259.81, 358.70 and 166.59 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.81 : 358.70 = 166.59 : x
  2. Step 2: Convert to fraction form
    259.81/358.70 = 166.59/x
  3. Step 3: Cross multiply
    259.81x = 358.70 × 166.59
  4. Step 4: Simplify right side
    259.81x = 59,755.00
  5. Step 5: Solve for x
    x = 59,755.00/259.81
  6. Step 6: Final answer
    x = 230.00

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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.