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Finding the Fourth Proportional to 287.25, 429.99 and 184.38

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Solution

The fourth proportional to 287.25, 429.99 and 184.38 is: 276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.25 : 429.99 = 184.38 : x
  2. Step 2: Convert to fraction form
    287.25/429.99 = 184.38/x
  3. Step 3: Cross multiply
    287.25x = 429.99 × 184.38
  4. Step 4: Simplify right side
    287.25x = 79,281.56
  5. Step 5: Solve for x
    x = 79,281.56/287.25
  6. Step 6: Final answer
    x = 276.00

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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.