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Finding the Fourth Proportional to 259.65, 358.32 and 143.21

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Solution

The fourth proportional to 259.65, 358.32 and 143.21 is: 197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.65 : 358.32 = 143.21 : x
  2. Step 2: Convert to fraction form
    259.65/358.32 = 143.21/x
  3. Step 3: Cross multiply
    259.65x = 358.32 × 143.21
  4. Step 4: Simplify right side
    259.65x = 51,313.22
  5. Step 5: Solve for x
    x = 51,313.22/259.65
  6. Step 6: Final answer
    x = 197.62

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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.