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Finding the Fourth Proportional to 262.58, 362.30 and 146.14

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Solution

The fourth proportional to 262.58, 362.30 and 146.14 is: 201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.58 : 362.30 = 146.14 : x
  2. Step 2: Convert to fraction form
    262.58/362.30 = 146.14/x
  3. Step 3: Cross multiply
    262.58x = 362.30 × 146.14
  4. Step 4: Simplify right side
    262.58x = 52,944.89
  5. Step 5: Solve for x
    x = 52,944.89/262.58
  6. Step 6: Final answer
    x = 201.64

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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.