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Finding the Fourth Proportional to 172.24, 256.94 and 164.50

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Solution

The fourth proportional to 172.24, 256.94 and 164.50 is: 245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 256.94 = 164.50 : x
  2. Step 2: Convert to fraction form
    172.24/256.94 = 164.50/x
  3. Step 3: Cross multiply
    172.24x = 256.94 × 164.50
  4. Step 4: Simplify right side
    172.24x = 42,266.63
  5. Step 5: Solve for x
    x = 42,266.63/172.24
  6. Step 6: Final answer
    x = 245.39

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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.