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Finding the Fourth Proportional to 409.18, 613.68 and 178.06

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Solution

The fourth proportional to 409.18, 613.68 and 178.06 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.18 : 613.68 = 178.06 : x
  2. Step 2: Convert to fraction form
    409.18/613.68 = 178.06/x
  3. Step 3: Cross multiply
    409.18x = 613.68 × 178.06
  4. Step 4: Simplify right side
    409.18x = 109,271.86
  5. Step 5: Solve for x
    x = 109,271.86/409.18
  6. Step 6: Final answer
    x = 267.05

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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.