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Finding the Fourth Proportional to 160.54, 242.26 and 154.82

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Solution

The fourth proportional to 160.54, 242.26 and 154.82 is: 233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.54 : 242.26 = 154.82 : x
  2. Step 2: Convert to fraction form
    160.54/242.26 = 154.82/x
  3. Step 3: Cross multiply
    160.54x = 242.26 × 154.82
  4. Step 4: Simplify right side
    160.54x = 37,506.69
  5. Step 5: Solve for x
    x = 37,506.69/160.54
  6. Step 6: Final answer
    x = 233.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.