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Finding the Fourth Proportional to 236.84, 355.28 and 115.16

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Solution

The fourth proportional to 236.84, 355.28 and 115.16 is: 172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.84 : 355.28 = 115.16 : x
  2. Step 2: Convert to fraction form
    236.84/355.28 = 115.16/x
  3. Step 3: Cross multiply
    236.84x = 355.28 × 115.16
  4. Step 4: Simplify right side
    236.84x = 40,911.69
  5. Step 5: Solve for x
    x = 40,911.69/236.84
  6. Step 6: Final answer
    x = 172.74

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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.