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Finding the Fourth Proportional to 259.51, 358.00 and 166.21

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Solution

The fourth proportional to 259.51, 358.00 and 166.21 is: 229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.51 : 358.00 = 166.21 : x
  2. Step 2: Convert to fraction form
    259.51/358.00 = 166.21/x
  3. Step 3: Cross multiply
    259.51x = 358.00 × 166.21
  4. Step 4: Simplify right side
    259.51x = 59,500.77
  5. Step 5: Solve for x
    x = 59,500.77/259.51
  6. Step 6: Final answer
    x = 229.29

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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.