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Finding the Fourth Proportional to 172.23, 259.28 and 157.35

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Solution

The fourth proportional to 172.23, 259.28 and 157.35 is: 236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 259.28 = 157.35 : x
  2. Step 2: Convert to fraction form
    172.23/259.28 = 157.35/x
  3. Step 3: Cross multiply
    172.23x = 259.28 × 157.35
  4. Step 4: Simplify right side
    172.23x = 40,797.71
  5. Step 5: Solve for x
    x = 40,797.71/172.23
  6. Step 6: Final answer
    x = 236.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.