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Finding the Fourth Proportional to 314.23, 433.66 and 174.35

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Solution

The fourth proportional to 314.23, 433.66 and 174.35 is: 240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.23 : 433.66 = 174.35 : x
  2. Step 2: Convert to fraction form
    314.23/433.66 = 174.35/x
  3. Step 3: Cross multiply
    314.23x = 433.66 × 174.35
  4. Step 4: Simplify right side
    314.23x = 75,608.62
  5. Step 5: Solve for x
    x = 75,608.62/314.23
  6. Step 6: Final answer
    x = 240.62

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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.