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Finding the Fourth Proportional to 314.38, 433.81 and 174.47

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Solution

The fourth proportional to 314.38, 433.81 and 174.47 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 433.81 = 174.47 : x
  2. Step 2: Convert to fraction form
    314.38/433.81 = 174.47/x
  3. Step 3: Cross multiply
    314.38x = 433.81 × 174.47
  4. Step 4: Simplify right side
    314.38x = 75,686.83
  5. Step 5: Solve for x
    x = 75,686.83/314.38
  6. Step 6: Final answer
    x = 240.75

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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.