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Finding the Fourth Proportional to 229.30, 316.77 and 185.56

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Solution

The fourth proportional to 229.30, 316.77 and 185.56 is: 256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 316.77 = 185.56 : x
  2. Step 2: Convert to fraction form
    229.30/316.77 = 185.56/x
  3. Step 3: Cross multiply
    229.30x = 316.77 × 185.56
  4. Step 4: Simplify right side
    229.30x = 58,779.84
  5. Step 5: Solve for x
    x = 58,779.84/229.30
  6. Step 6: Final answer
    x = 256.34

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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.