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Finding the Fourth Proportional to 317.24, 437.71 and 186.22

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Solution

The fourth proportional to 317.24, 437.71 and 186.22 is: 256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 437.71 = 186.22 : x
  2. Step 2: Convert to fraction form
    317.24/437.71 = 186.22/x
  3. Step 3: Cross multiply
    317.24x = 437.71 × 186.22
  4. Step 4: Simplify right side
    317.24x = 81,511.45
  5. Step 5: Solve for x
    x = 81,511.45/317.24
  6. Step 6: Final answer
    x = 256.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.