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Finding the Fourth Proportional to 262.32, 362.00 and 145.88

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Solution

The fourth proportional to 262.32, 362.00 and 145.88 is: 201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.32 : 362.00 = 145.88 : x
  2. Step 2: Convert to fraction form
    262.32/362.00 = 145.88/x
  3. Step 3: Cross multiply
    262.32x = 362.00 × 145.88
  4. Step 4: Simplify right side
    262.32x = 52,806.02
  5. Step 5: Solve for x
    x = 52,806.02/262.32
  6. Step 6: Final answer
    x = 201.30

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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.