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Finding the Fourth Proportional to 275.06, 379.65 and 176.81

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Solution

The fourth proportional to 275.06, 379.65 and 176.81 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 379.65 = 176.81 : x
  2. Step 2: Convert to fraction form
    275.06/379.65 = 176.81/x
  3. Step 3: Cross multiply
    275.06x = 379.65 × 176.81
  4. Step 4: Simplify right side
    275.06x = 67,124.02
  5. Step 5: Solve for x
    x = 67,124.02/275.06
  6. Step 6: Final answer
    x = 244.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.