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Finding the Fourth Proportional to 264.33, 363.86 and 229.77

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Solution

The fourth proportional to 264.33, 363.86 and 229.77 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.33 : 363.86 = 229.77 : x
  2. Step 2: Convert to fraction form
    264.33/363.86 = 229.77/x
  3. Step 3: Cross multiply
    264.33x = 363.86 × 229.77
  4. Step 4: Simplify right side
    264.33x = 83,602.96
  5. Step 5: Solve for x
    x = 83,602.96/264.33
  6. Step 6: Final answer
    x = 316.28

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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.