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Finding the Fourth Proportional to 283.16, 390.66 and 165.16

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Solution

The fourth proportional to 283.16, 390.66 and 165.16 is: 227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 390.66 = 165.16 : x
  2. Step 2: Convert to fraction form
    283.16/390.66 = 165.16/x
  3. Step 3: Cross multiply
    283.16x = 390.66 × 165.16
  4. Step 4: Simplify right side
    283.16x = 64,521.41
  5. Step 5: Solve for x
    x = 64,521.41/283.16
  6. Step 6: Final answer
    x = 227.86

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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.