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Finding the Fourth Proportional to 160.10, 238.98 and 138.57

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Solution

The fourth proportional to 160.10, 238.98 and 138.57 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 238.98 = 138.57 : x
  2. Step 2: Convert to fraction form
    160.10/238.98 = 138.57/x
  3. Step 3: Cross multiply
    160.10x = 238.98 × 138.57
  4. Step 4: Simplify right side
    160.10x = 33,115.46
  5. Step 5: Solve for x
    x = 33,115.46/160.10
  6. Step 6: Final answer
    x = 206.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.