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Finding the Fourth Proportional to 259.84, 358.64 and 166.56

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Solution

The fourth proportional to 259.84, 358.64 and 166.56 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 358.64 = 166.56 : x
  2. Step 2: Convert to fraction form
    259.84/358.64 = 166.56/x
  3. Step 3: Cross multiply
    259.84x = 358.64 × 166.56
  4. Step 4: Simplify right side
    259.84x = 59,735.08
  5. Step 5: Solve for x
    x = 59,735.08/259.84
  6. Step 6: Final answer
    x = 229.89

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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.