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Finding the Fourth Proportional to 236.06, 354.10 and 65.06

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Solution

The fourth proportional to 236.06, 354.10 and 65.06 is: 97.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.06 : 354.10 = 65.06 : x
  2. Step 2: Convert to fraction form
    236.06/354.10 = 65.06/x
  3. Step 3: Cross multiply
    236.06x = 354.10 × 65.06
  4. Step 4: Simplify right side
    236.06x = 23,037.75
  5. Step 5: Solve for x
    x = 23,037.75/236.06
  6. Step 6: Final answer
    x = 97.59

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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.