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Finding the Fourth Proportional to 236.80, 355.16 and 65.80

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Solution

The fourth proportional to 236.80, 355.16 and 65.80 is: 98.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.80 : 355.16 = 65.80 : x
  2. Step 2: Convert to fraction form
    236.80/355.16 = 65.80/x
  3. Step 3: Cross multiply
    236.80x = 355.16 × 65.80
  4. Step 4: Simplify right side
    236.80x = 23,369.53
  5. Step 5: Solve for x
    x = 23,369.53/236.80
  6. Step 6: Final answer
    x = 98.69

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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.