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Finding the Fourth Proportional to 283.16, 390.94 and 178.30

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Solution

The fourth proportional to 283.16, 390.94 and 178.30 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 390.94 = 178.30 : x
  2. Step 2: Convert to fraction form
    283.16/390.94 = 178.30/x
  3. Step 3: Cross multiply
    283.16x = 390.94 × 178.30
  4. Step 4: Simplify right side
    283.16x = 69,705.65
  5. Step 5: Solve for x
    x = 69,705.65/283.16
  6. Step 6: Final answer
    x = 246.17

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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.