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Finding the Fourth Proportional to 285.82, 428.91 and 164.32

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Solution

The fourth proportional to 285.82, 428.91 and 164.32 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 428.91 = 164.32 : x
  2. Step 2: Convert to fraction form
    285.82/428.91 = 164.32/x
  3. Step 3: Cross multiply
    285.82x = 428.91 × 164.32
  4. Step 4: Simplify right side
    285.82x = 70,478.49
  5. Step 5: Solve for x
    x = 70,478.49/285.82
  6. Step 6: Final answer
    x = 246.58

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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.