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Finding the Fourth Proportional to 287.18, 429.83 and 189.75

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Solution

The fourth proportional to 287.18, 429.83 and 189.75 is: 284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.18 : 429.83 = 189.75 : x
  2. Step 2: Convert to fraction form
    287.18/429.83 = 189.75/x
  3. Step 3: Cross multiply
    287.18x = 429.83 × 189.75
  4. Step 4: Simplify right side
    287.18x = 81,559.29
  5. Step 5: Solve for x
    x = 81,559.29/287.18
  6. Step 6: Final answer
    x = 284.01

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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.