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Finding the Fourth Proportional to 317.93, 438.73 and 178.06

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Solution

The fourth proportional to 317.93, 438.73 and 178.06 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 438.73 = 178.06 : x
  2. Step 2: Convert to fraction form
    317.93/438.73 = 178.06/x
  3. Step 3: Cross multiply
    317.93x = 438.73 × 178.06
  4. Step 4: Simplify right side
    317.93x = 78,117.18
  5. Step 5: Solve for x
    x = 78,117.18/317.93
  6. Step 6: Final answer
    x = 245.71

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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.