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Finding the Fourth Proportional to 259.39, 358.04 and 166.19

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Solution

The fourth proportional to 259.39, 358.04 and 166.19 is: 229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.39 : 358.04 = 166.19 : x
  2. Step 2: Convert to fraction form
    259.39/358.04 = 166.19/x
  3. Step 3: Cross multiply
    259.39x = 358.04 × 166.19
  4. Step 4: Simplify right side
    259.39x = 59,501.84
  5. Step 5: Solve for x
    x = 59,501.84/259.39
  6. Step 6: Final answer
    x = 229.39

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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.