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Finding the Fourth Proportional to 317.66, 438.37 and 177.78

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Solution

The fourth proportional to 317.66, 438.37 and 177.78 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 438.37 = 177.78 : x
  2. Step 2: Convert to fraction form
    317.66/438.37 = 177.78/x
  3. Step 3: Cross multiply
    317.66x = 438.37 × 177.78
  4. Step 4: Simplify right side
    317.66x = 77,933.42
  5. Step 5: Solve for x
    x = 77,933.42/317.66
  6. Step 6: Final answer
    x = 245.34

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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.