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Finding the Fourth Proportional to 259.63, 358.34 and 166.35

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Solution

The fourth proportional to 259.63, 358.34 and 166.35 is: 229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.63 : 358.34 = 166.35 : x
  2. Step 2: Convert to fraction form
    259.63/358.34 = 166.35/x
  3. Step 3: Cross multiply
    259.63x = 358.34 × 166.35
  4. Step 4: Simplify right side
    259.63x = 59,609.86
  5. Step 5: Solve for x
    x = 59,609.86/259.63
  6. Step 6: Final answer
    x = 229.60

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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.