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Finding the Fourth Proportional to 191.64, 287.52 and 151.20

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Solution

The fourth proportional to 191.64, 287.52 and 151.20 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 287.52 = 151.20 : x
  2. Step 2: Convert to fraction form
    191.64/287.52 = 151.20/x
  3. Step 3: Cross multiply
    191.64x = 287.52 × 151.20
  4. Step 4: Simplify right side
    191.64x = 43,473.02
  5. Step 5: Solve for x
    x = 43,473.02/191.64
  6. Step 6: Final answer
    x = 226.85

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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.