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Finding the Fourth Proportional to 289.53, 399.52 and 184.58

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Solution

The fourth proportional to 289.53, 399.52 and 184.58 is: 254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 399.52 = 184.58 : x
  2. Step 2: Convert to fraction form
    289.53/399.52 = 184.58/x
  3. Step 3: Cross multiply
    289.53x = 399.52 × 184.58
  4. Step 4: Simplify right side
    289.53x = 73,741.03
  5. Step 5: Solve for x
    x = 73,741.03/289.53
  6. Step 6: Final answer
    x = 254.69

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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.