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Finding the Fourth Proportional to 245.92, 339.57 and 158.74

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Solution

The fourth proportional to 245.92, 339.57 and 158.74 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 339.57 = 158.74 : x
  2. Step 2: Convert to fraction form
    245.92/339.57 = 158.74/x
  3. Step 3: Cross multiply
    245.92x = 339.57 × 158.74
  4. Step 4: Simplify right side
    245.92x = 53,903.34
  5. Step 5: Solve for x
    x = 53,903.34/245.92
  6. Step 6: Final answer
    x = 219.19

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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.