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Finding the Fourth Proportional to 178.11, 265.79 and 172.26

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Solution

The fourth proportional to 178.11, 265.79 and 172.26 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.11 : 265.79 = 172.26 : x
  2. Step 2: Convert to fraction form
    178.11/265.79 = 172.26/x
  3. Step 3: Cross multiply
    178.11x = 265.79 × 172.26
  4. Step 4: Simplify right side
    178.11x = 45,784.12
  5. Step 5: Solve for x
    x = 45,784.12/178.11
  6. Step 6: Final answer
    x = 257.06

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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.