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Finding the Fourth Proportional to 236.96, 354.72 and 189.08

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Solution

The fourth proportional to 236.96, 354.72 and 189.08 is: 283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.96 : 354.72 = 189.08 : x
  2. Step 2: Convert to fraction form
    236.96/354.72 = 189.08/x
  3. Step 3: Cross multiply
    236.96x = 354.72 × 189.08
  4. Step 4: Simplify right side
    236.96x = 67,070.46
  5. Step 5: Solve for x
    x = 67,070.46/236.96
  6. Step 6: Final answer
    x = 283.05

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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.