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Finding the Fourth Proportional to 342.51, 514.11 and 180.32

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Solution

The fourth proportional to 342.51, 514.11 and 180.32 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 514.11 = 180.32 : x
  2. Step 2: Convert to fraction form
    342.51/514.11 = 180.32/x
  3. Step 3: Cross multiply
    342.51x = 514.11 × 180.32
  4. Step 4: Simplify right side
    342.51x = 92,701.74
  5. Step 5: Solve for x
    x = 92,701.74/342.51
  6. Step 6: Final answer
    x = 270.65

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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.