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Finding the Fourth Proportional to 288.16, 397.71 and 183.16

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Solution

The fourth proportional to 288.16, 397.71 and 183.16 is: 252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 397.71 = 183.16 : x
  2. Step 2: Convert to fraction form
    288.16/397.71 = 183.16/x
  3. Step 3: Cross multiply
    288.16x = 397.71 × 183.16
  4. Step 4: Simplify right side
    288.16x = 72,845.06
  5. Step 5: Solve for x
    x = 72,845.06/288.16
  6. Step 6: Final answer
    x = 252.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.