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Finding the Fourth Proportional to 236.13, 354.19 and 65.13

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Solution

The fourth proportional to 236.13, 354.19 and 65.13 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.13 : 354.19 = 65.13 : x
  2. Step 2: Convert to fraction form
    236.13/354.19 = 65.13/x
  3. Step 3: Cross multiply
    236.13x = 354.19 × 65.13
  4. Step 4: Simplify right side
    236.13x = 23,068.39
  5. Step 5: Solve for x
    x = 23,068.39/236.13
  6. Step 6: Final answer
    x = 97.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.