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Finding the Fourth Proportional to 245.89, 368.17 and 130.09

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Solution

The fourth proportional to 245.89, 368.17 and 130.09 is: 194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.89 : 368.17 = 130.09 : x
  2. Step 2: Convert to fraction form
    245.89/368.17 = 130.09/x
  3. Step 3: Cross multiply
    245.89x = 368.17 × 130.09
  4. Step 4: Simplify right side
    245.89x = 47,895.24
  5. Step 5: Solve for x
    x = 47,895.24/245.89
  6. Step 6: Final answer
    x = 194.78

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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.