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Finding the Fourth Proportional to 172.32, 257.12 and 164.31

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Solution

The fourth proportional to 172.32, 257.12 and 164.31 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.32 : 257.12 = 164.31 : x
  2. Step 2: Convert to fraction form
    172.32/257.12 = 164.31/x
  3. Step 3: Cross multiply
    172.32x = 257.12 × 164.31
  4. Step 4: Simplify right side
    172.32x = 42,247.39
  5. Step 5: Solve for x
    x = 42,247.39/172.32
  6. Step 6: Final answer
    x = 245.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.