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Finding the Fourth Proportional to 203.79, 305.53 and 138.79

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Solution

The fourth proportional to 203.79, 305.53 and 138.79 is: 208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.79 : 305.53 = 138.79 : x
  2. Step 2: Convert to fraction form
    203.79/305.53 = 138.79/x
  3. Step 3: Cross multiply
    203.79x = 305.53 × 138.79
  4. Step 4: Simplify right side
    203.79x = 42,404.51
  5. Step 5: Solve for x
    x = 42,404.51/203.79
  6. Step 6: Final answer
    x = 208.08

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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.