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Finding the Fourth Proportional to 259.72, 358.43 and 172.41

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Solution

The fourth proportional to 259.72, 358.43 and 172.41 is: 237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.72 : 358.43 = 172.41 : x
  2. Step 2: Convert to fraction form
    259.72/358.43 = 172.41/x
  3. Step 3: Cross multiply
    259.72x = 358.43 × 172.41
  4. Step 4: Simplify right side
    259.72x = 61,796.92
  5. Step 5: Solve for x
    x = 61,796.92/259.72
  6. Step 6: Final answer
    x = 237.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.