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Finding the Fourth Proportional to 263, 362.94 and 146.57

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Solution

The fourth proportional to 263, 362.94 and 146.57 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263 : 362.94 = 146.57 : x
  2. Step 2: Convert to fraction form
    263/362.94 = 146.57/x
  3. Step 3: Cross multiply
    263x = 362.94 × 146.57
  4. Step 4: Simplify right side
    263x = 53,196.12
  5. Step 5: Solve for x
    x = 53,196.12/263
  6. Step 6: Final answer
    x = 202.27

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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.