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Finding the Fourth Proportional to 262.60, 362.39 and 146.17

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Solution

The fourth proportional to 262.60, 362.39 and 146.17 is: 201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.60 : 362.39 = 146.17 : x
  2. Step 2: Convert to fraction form
    262.60/362.39 = 146.17/x
  3. Step 3: Cross multiply
    262.60x = 362.39 × 146.17
  4. Step 4: Simplify right side
    262.60x = 52,970.55
  5. Step 5: Solve for x
    x = 52,970.55/262.60
  6. Step 6: Final answer
    x = 201.72

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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.