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Finding the Fourth Proportional to 317.90, 438.68 and 178.01

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Solution

The fourth proportional to 317.90, 438.68 and 178.01 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 438.68 = 178.01 : x
  2. Step 2: Convert to fraction form
    317.90/438.68 = 178.01/x
  3. Step 3: Cross multiply
    317.90x = 438.68 × 178.01
  4. Step 4: Simplify right side
    317.90x = 78,087.89
  5. Step 5: Solve for x
    x = 78,087.89/317.90
  6. Step 6: Final answer
    x = 245.63

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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.