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Finding the Fourth Proportional to 498.06, 746.91 and 168.95

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Solution

The fourth proportional to 498.06, 746.91 and 168.95 is: 253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 746.91 = 168.95 : x
  2. Step 2: Convert to fraction form
    498.06/746.91 = 168.95/x
  3. Step 3: Cross multiply
    498.06x = 746.91 × 168.95
  4. Step 4: Simplify right side
    498.06x = 126,186.71
  5. Step 5: Solve for x
    x = 126,186.71/498.06
  6. Step 6: Final answer
    x = 253.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.