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Finding the Fourth Proportional to 260.02, 390.39 and 138.34

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Solution

The fourth proportional to 260.02, 390.39 and 138.34 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.02 : 390.39 = 138.34 : x
  2. Step 2: Convert to fraction form
    260.02/390.39 = 138.34/x
  3. Step 3: Cross multiply
    260.02x = 390.39 × 138.34
  4. Step 4: Simplify right side
    260.02x = 54,006.55
  5. Step 5: Solve for x
    x = 54,006.55/260.02
  6. Step 6: Final answer
    x = 207.70

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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.