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Finding the Fourth Proportional to 262.65, 362.45 and 144.63

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Solution

The fourth proportional to 262.65, 362.45 and 144.63 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.65 : 362.45 = 144.63 : x
  2. Step 2: Convert to fraction form
    262.65/362.45 = 144.63/x
  3. Step 3: Cross multiply
    262.65x = 362.45 × 144.63
  4. Step 4: Simplify right side
    262.65x = 52,421.14
  5. Step 5: Solve for x
    x = 52,421.14/262.65
  6. Step 6: Final answer
    x = 199.59

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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.