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Finding the Fourth Proportional to 289.94, 399.90 and 184.91

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Solution

The fourth proportional to 289.94, 399.90 and 184.91 is: 255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.94 : 399.90 = 184.91 : x
  2. Step 2: Convert to fraction form
    289.94/399.90 = 184.91/x
  3. Step 3: Cross multiply
    289.94x = 399.90 × 184.91
  4. Step 4: Simplify right side
    289.94x = 73,946.51
  5. Step 5: Solve for x
    x = 73,946.51/289.94
  6. Step 6: Final answer
    x = 255.04

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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.