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Finding the Fourth Proportional to 160.10, 238 and 155.24

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Solution

The fourth proportional to 160.10, 238 and 155.24 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 238 = 155.24 : x
  2. Step 2: Convert to fraction form
    160.10/238 = 155.24/x
  3. Step 3: Cross multiply
    160.10x = 238 × 155.24
  4. Step 4: Simplify right side
    160.10x = 36,947.12
  5. Step 5: Solve for x
    x = 36,947.12/160.10
  6. Step 6: Final answer
    x = 230.78

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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.