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Finding the Fourth Proportional to 317, 437.46 and 186.14

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Solution

The fourth proportional to 317, 437.46 and 186.14 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317 : 437.46 = 186.14 : x
  2. Step 2: Convert to fraction form
    317/437.46 = 186.14/x
  3. Step 3: Cross multiply
    317x = 437.46 × 186.14
  4. Step 4: Simplify right side
    317x = 81,428.80
  5. Step 5: Solve for x
    x = 81,428.80/317
  6. Step 6: Final answer
    x = 256.87

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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.