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Finding the Fourth Proportional to 175.92, 265.02 and 160.88

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Solution

The fourth proportional to 175.92, 265.02 and 160.88 is: 242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 265.02 = 160.88 : x
  2. Step 2: Convert to fraction form
    175.92/265.02 = 160.88/x
  3. Step 3: Cross multiply
    175.92x = 265.02 × 160.88
  4. Step 4: Simplify right side
    175.92x = 42,635.61
  5. Step 5: Solve for x
    x = 42,635.61/175.92
  6. Step 6: Final answer
    x = 242.36

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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.