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Finding the Fourth Proportional to 245.39, 368.09 and 101.11

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Solution

The fourth proportional to 245.39, 368.09 and 101.11 is: 151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.39 : 368.09 = 101.11 : x
  2. Step 2: Convert to fraction form
    245.39/368.09 = 101.11/x
  3. Step 3: Cross multiply
    245.39x = 368.09 × 101.11
  4. Step 4: Simplify right side
    245.39x = 37,217.58
  5. Step 5: Solve for x
    x = 37,217.58/245.39
  6. Step 6: Final answer
    x = 151.67

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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.