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Finding the Fourth Proportional to 262.50, 362.25 and 146.09

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Solution

The fourth proportional to 262.50, 362.25 and 146.09 is: 201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 362.25 = 146.09 : x
  2. Step 2: Convert to fraction form
    262.50/362.25 = 146.09/x
  3. Step 3: Cross multiply
    262.50x = 362.25 × 146.09
  4. Step 4: Simplify right side
    262.50x = 52,919.29
  5. Step 5: Solve for x
    x = 52,919.29/262.50
  6. Step 6: Final answer
    x = 201.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.