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Finding the Fourth Proportional to 262.78, 362.64 and 146.34

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Solution

The fourth proportional to 262.78, 362.64 and 146.34 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.78 : 362.64 = 146.34 : x
  2. Step 2: Convert to fraction form
    262.78/362.64 = 146.34/x
  3. Step 3: Cross multiply
    262.78x = 362.64 × 146.34
  4. Step 4: Simplify right side
    262.78x = 53,070.10
  5. Step 5: Solve for x
    x = 53,070.10/262.78
  6. Step 6: Final answer
    x = 201.96

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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.