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Finding the Fourth Proportional to 205.40, 308.03 and 147.45

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Solution

The fourth proportional to 205.40, 308.03 and 147.45 is: 221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 308.03 = 147.45 : x
  2. Step 2: Convert to fraction form
    205.40/308.03 = 147.45/x
  3. Step 3: Cross multiply
    205.40x = 308.03 × 147.45
  4. Step 4: Simplify right side
    205.40x = 45,419.67
  5. Step 5: Solve for x
    x = 45,419.67/205.40
  6. Step 6: Final answer
    x = 221.13

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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.