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Finding the Fourth Proportional to 486.34, 729.28 and 178.11

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Solution

The fourth proportional to 486.34, 729.28 and 178.11 is: 267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.34 : 729.28 = 178.11 : x
  2. Step 2: Convert to fraction form
    486.34/729.28 = 178.11/x
  3. Step 3: Cross multiply
    486.34x = 729.28 × 178.11
  4. Step 4: Simplify right side
    486.34x = 129,892.06
  5. Step 5: Solve for x
    x = 129,892.06/486.34
  6. Step 6: Final answer
    x = 267.08

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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.