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Finding the Fourth Proportional to 317.70, 438.54 and 186.78

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Solution

The fourth proportional to 317.70, 438.54 and 186.78 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.70 : 438.54 = 186.78 : x
  2. Step 2: Convert to fraction form
    317.70/438.54 = 186.78/x
  3. Step 3: Cross multiply
    317.70x = 438.54 × 186.78
  4. Step 4: Simplify right side
    317.70x = 81,910.50
  5. Step 5: Solve for x
    x = 81,910.50/317.70
  6. Step 6: Final answer
    x = 257.82

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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.