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Finding the Fourth Proportional to 160.06, 238.48 and 149.58

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Solution

The fourth proportional to 160.06, 238.48 and 149.58 is: 222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.06 : 238.48 = 149.58 : x
  2. Step 2: Convert to fraction form
    160.06/238.48 = 149.58/x
  3. Step 3: Cross multiply
    160.06x = 238.48 × 149.58
  4. Step 4: Simplify right side
    160.06x = 35,671.46
  5. Step 5: Solve for x
    x = 35,671.46/160.06
  6. Step 6: Final answer
    x = 222.87

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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.