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Finding the Fourth Proportional to 160.10, 238.84 and 158.05

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Solution

The fourth proportional to 160.10, 238.84 and 158.05 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 238.84 = 158.05 : x
  2. Step 2: Convert to fraction form
    160.10/238.84 = 158.05/x
  3. Step 3: Cross multiply
    160.10x = 238.84 × 158.05
  4. Step 4: Simplify right side
    160.10x = 37,748.66
  5. Step 5: Solve for x
    x = 37,748.66/160.10
  6. Step 6: Final answer
    x = 235.78

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Why These Related Problems?

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