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Finding the Fourth Proportional to 172.82, 238.53 and 114.57

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Solution

The fourth proportional to 172.82, 238.53 and 114.57 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 238.53 = 114.57 : x
  2. Step 2: Convert to fraction form
    172.82/238.53 = 114.57/x
  3. Step 3: Cross multiply
    172.82x = 238.53 × 114.57
  4. Step 4: Simplify right side
    172.82x = 27,328.38
  5. Step 5: Solve for x
    x = 27,328.38/172.82
  6. Step 6: Final answer
    x = 158.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.