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Finding the Fourth Proportional to 259.75, 358.47 and 172.59

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Solution

The fourth proportional to 259.75, 358.47 and 172.59 is: 238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 358.47 = 172.59 : x
  2. Step 2: Convert to fraction form
    259.75/358.47 = 172.59/x
  3. Step 3: Cross multiply
    259.75x = 358.47 × 172.59
  4. Step 4: Simplify right side
    259.75x = 61,865.68
  5. Step 5: Solve for x
    x = 61,865.68/259.75
  6. Step 6: Final answer
    x = 238.17

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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.