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Finding the Fourth Proportional to 342.76, 514.42 and 160.06

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Solution

The fourth proportional to 342.76, 514.42 and 160.06 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 514.42 = 160.06 : x
  2. Step 2: Convert to fraction form
    342.76/514.42 = 160.06/x
  3. Step 3: Cross multiply
    342.76x = 514.42 × 160.06
  4. Step 4: Simplify right side
    342.76x = 82,338.07
  5. Step 5: Solve for x
    x = 82,338.07/342.76
  6. Step 6: Final answer
    x = 240.22

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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.