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Finding the Fourth Proportional to 316.80, 437.16 and 185.78

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Solution

The fourth proportional to 316.80, 437.16 and 185.78 is: 256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 437.16 = 185.78 : x
  2. Step 2: Convert to fraction form
    316.80/437.16 = 185.78/x
  3. Step 3: Cross multiply
    316.80x = 437.16 × 185.78
  4. Step 4: Simplify right side
    316.80x = 81,215.58
  5. Step 5: Solve for x
    x = 81,215.58/316.80
  6. Step 6: Final answer
    x = 256.36

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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.