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Finding the Fourth Proportional to 283.12, 390.58 and 184.84

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Solution

The fourth proportional to 283.12, 390.58 and 184.84 is: 255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.12 : 390.58 = 184.84 : x
  2. Step 2: Convert to fraction form
    283.12/390.58 = 184.84/x
  3. Step 3: Cross multiply
    283.12x = 390.58 × 184.84
  4. Step 4: Simplify right side
    283.12x = 72,194.81
  5. Step 5: Solve for x
    x = 72,194.81/283.12
  6. Step 6: Final answer
    x = 255.00

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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.