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Finding the Fourth Proportional to 262.96, 362.88 and 146.52

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Solution

The fourth proportional to 262.96, 362.88 and 146.52 is: 202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.96 : 362.88 = 146.52 : x
  2. Step 2: Convert to fraction form
    262.96/362.88 = 146.52/x
  3. Step 3: Cross multiply
    262.96x = 362.88 × 146.52
  4. Step 4: Simplify right side
    262.96x = 53,169.31
  5. Step 5: Solve for x
    x = 53,169.31/262.96
  6. Step 6: Final answer
    x = 202.20

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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.