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Finding the Fourth Proportional to 245.54, 368.32 and 137.10

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Solution

The fourth proportional to 245.54, 368.32 and 137.10 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 368.32 = 137.10 : x
  2. Step 2: Convert to fraction form
    245.54/368.32 = 137.10/x
  3. Step 3: Cross multiply
    245.54x = 368.32 × 137.10
  4. Step 4: Simplify right side
    245.54x = 50,496.67
  5. Step 5: Solve for x
    x = 50,496.67/245.54
  6. Step 6: Final answer
    x = 205.66

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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.