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Finding the Fourth Proportional to 317.76, 438.41 and 186.68

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Solution

The fourth proportional to 317.76, 438.41 and 186.68 is: 257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 438.41 = 186.68 : x
  2. Step 2: Convert to fraction form
    317.76/438.41 = 186.68/x
  3. Step 3: Cross multiply
    317.76x = 438.41 × 186.68
  4. Step 4: Simplify right side
    317.76x = 81,839.25
  5. Step 5: Solve for x
    x = 81,839.25/317.76
  6. Step 6: Final answer
    x = 257.55

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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.