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Finding the Fourth Proportional to 160.92, 242.34 and 130.53

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Solution

The fourth proportional to 160.92, 242.34 and 130.53 is: 196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.92 : 242.34 = 130.53 : x
  2. Step 2: Convert to fraction form
    160.92/242.34 = 130.53/x
  3. Step 3: Cross multiply
    160.92x = 242.34 × 130.53
  4. Step 4: Simplify right side
    160.92x = 31,632.64
  5. Step 5: Solve for x
    x = 31,632.64/160.92
  6. Step 6: Final answer
    x = 196.57

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Why These Related Problems?

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