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Finding the Fourth Proportional to 152.10, 209.40 and 138.96

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Solution

The fourth proportional to 152.10, 209.40 and 138.96 is: 191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 209.40 = 138.96 : x
  2. Step 2: Convert to fraction form
    152.10/209.40 = 138.96/x
  3. Step 3: Cross multiply
    152.10x = 209.40 × 138.96
  4. Step 4: Simplify right side
    152.10x = 29,098.22
  5. Step 5: Solve for x
    x = 29,098.22/152.10
  6. Step 6: Final answer
    x = 191.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.