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Finding the Fourth Proportional to 245, 338.22 and 176.12

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Solution

The fourth proportional to 245, 338.22 and 176.12 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245 : 338.22 = 176.12 : x
  2. Step 2: Convert to fraction form
    245/338.22 = 176.12/x
  3. Step 3: Cross multiply
    245x = 338.22 × 176.12
  4. Step 4: Simplify right side
    245x = 59,567.31
  5. Step 5: Solve for x
    x = 59,567.31/245
  6. Step 6: Final answer
    x = 243.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.