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Finding the Fourth Proportional to 172.29, 258.74 and 165.21

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Solution

The fourth proportional to 172.29, 258.74 and 165.21 is: 248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 258.74 = 165.21 : x
  2. Step 2: Convert to fraction form
    172.29/258.74 = 165.21/x
  3. Step 3: Cross multiply
    172.29x = 258.74 × 165.21
  4. Step 4: Simplify right side
    172.29x = 42,746.44
  5. Step 5: Solve for x
    x = 42,746.44/172.29
  6. Step 6: Final answer
    x = 248.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.