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Finding the Fourth Proportional to 285.70, 428.46 and 164.02

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Solution

The fourth proportional to 285.70, 428.46 and 164.02 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.70 : 428.46 = 164.02 : x
  2. Step 2: Convert to fraction form
    285.70/428.46 = 164.02/x
  3. Step 3: Cross multiply
    285.70x = 428.46 × 164.02
  4. Step 4: Simplify right side
    285.70x = 70,276.01
  5. Step 5: Solve for x
    x = 70,276.01/285.70
  6. Step 6: Final answer
    x = 245.98

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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.