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Finding the Fourth Proportional to 245.34, 367.07 and 179.91

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Solution

The fourth proportional to 245.34, 367.07 and 179.91 is: 269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.34 : 367.07 = 179.91 : x
  2. Step 2: Convert to fraction form
    245.34/367.07 = 179.91/x
  3. Step 3: Cross multiply
    245.34x = 367.07 × 179.91
  4. Step 4: Simplify right side
    245.34x = 66,038.66
  5. Step 5: Solve for x
    x = 66,038.66/245.34
  6. Step 6: Final answer
    x = 269.17

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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.