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Finding the Fourth Proportional to 316.98, 437.42 and 186.04

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Solution

The fourth proportional to 316.98, 437.42 and 186.04 is: 256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.98 : 437.42 = 186.04 : x
  2. Step 2: Convert to fraction form
    316.98/437.42 = 186.04/x
  3. Step 3: Cross multiply
    316.98x = 437.42 × 186.04
  4. Step 4: Simplify right side
    316.98x = 81,377.62
  5. Step 5: Solve for x
    x = 81,377.62/316.98
  6. Step 6: Final answer
    x = 256.73

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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.