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Finding the Fourth Proportional to 259.23, 357.89 and 172.02

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Solution

The fourth proportional to 259.23, 357.89 and 172.02 is: 237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 357.89 = 172.02 : x
  2. Step 2: Convert to fraction form
    259.23/357.89 = 172.02/x
  3. Step 3: Cross multiply
    259.23x = 357.89 × 172.02
  4. Step 4: Simplify right side
    259.23x = 61,563.38
  5. Step 5: Solve for x
    x = 61,563.38/259.23
  6. Step 6: Final answer
    x = 237.49

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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.