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Finding the Fourth Proportional to 283.13, 390.54 and 184.88

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Solution

The fourth proportional to 283.13, 390.54 and 184.88 is: 255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.13 : 390.54 = 184.88 : x
  2. Step 2: Convert to fraction form
    283.13/390.54 = 184.88/x
  3. Step 3: Cross multiply
    283.13x = 390.54 × 184.88
  4. Step 4: Simplify right side
    283.13x = 72,202.57
  5. Step 5: Solve for x
    x = 72,202.57/283.13
  6. Step 6: Final answer
    x = 255.02

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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.