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Finding the Fourth Proportional to 342.66, 514.04 and 178.08

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Solution

The fourth proportional to 342.66, 514.04 and 178.08 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.66 : 514.04 = 178.08 : x
  2. Step 2: Convert to fraction form
    342.66/514.04 = 178.08/x
  3. Step 3: Cross multiply
    342.66x = 514.04 × 178.08
  4. Step 4: Simplify right side
    342.66x = 91,540.24
  5. Step 5: Solve for x
    x = 91,540.24/342.66
  6. Step 6: Final answer
    x = 267.15

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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.