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Finding the Fourth Proportional to 342.93, 514.55 and 160.46

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Solution

The fourth proportional to 342.93, 514.55 and 160.46 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.93 : 514.55 = 160.46 : x
  2. Step 2: Convert to fraction form
    342.93/514.55 = 160.46/x
  3. Step 3: Cross multiply
    342.93x = 514.55 × 160.46
  4. Step 4: Simplify right side
    342.93x = 82,563.00
  5. Step 5: Solve for x
    x = 82,563.00/342.93
  6. Step 6: Final answer
    x = 240.75

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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.