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Finding the Fourth Proportional to 314.23, 471.35 and 170.23

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Solution

The fourth proportional to 314.23, 471.35 and 170.23 is: 255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.23 : 471.35 = 170.23 : x
  2. Step 2: Convert to fraction form
    314.23/471.35 = 170.23/x
  3. Step 3: Cross multiply
    314.23x = 471.35 × 170.23
  4. Step 4: Simplify right side
    314.23x = 80,237.06
  5. Step 5: Solve for x
    x = 80,237.06/314.23
  6. Step 6: Final answer
    x = 255.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.