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Finding the Fourth Proportional to 179.21, 245.63 and 176.78

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Solution

The fourth proportional to 179.21, 245.63 and 176.78 is: 242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.21 : 245.63 = 176.78 : x
  2. Step 2: Convert to fraction form
    179.21/245.63 = 176.78/x
  3. Step 3: Cross multiply
    179.21x = 245.63 × 176.78
  4. Step 4: Simplify right side
    179.21x = 43,423.53
  5. Step 5: Solve for x
    x = 43,423.53/179.21
  6. Step 6: Final answer
    x = 242.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.