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Finding the Fourth Proportional to 285.81, 428.28 and 164.10

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Solution

The fourth proportional to 285.81, 428.28 and 164.10 is: 245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.81 : 428.28 = 164.10 : x
  2. Step 2: Convert to fraction form
    285.81/428.28 = 164.10/x
  3. Step 3: Cross multiply
    285.81x = 428.28 × 164.10
  4. Step 4: Simplify right side
    285.81x = 70,280.75
  5. Step 5: Solve for x
    x = 70,280.75/285.81
  6. Step 6: Final answer
    x = 245.90

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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.