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Finding the Fourth Proportional to 285.66, 428.31 and 164.16

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Solution

The fourth proportional to 285.66, 428.31 and 164.16 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 428.31 = 164.16 : x
  2. Step 2: Convert to fraction form
    285.66/428.31 = 164.16/x
  3. Step 3: Cross multiply
    285.66x = 428.31 × 164.16
  4. Step 4: Simplify right side
    285.66x = 70,311.37
  5. Step 5: Solve for x
    x = 70,311.37/285.66
  6. Step 6: Final answer
    x = 246.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.