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Finding the Fourth Proportional to 315.85, 435.83 and 175.97

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Solution

The fourth proportional to 315.85, 435.83 and 175.97 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.85 : 435.83 = 175.97 : x
  2. Step 2: Convert to fraction form
    315.85/435.83 = 175.97/x
  3. Step 3: Cross multiply
    315.85x = 435.83 × 175.97
  4. Step 4: Simplify right side
    315.85x = 76,694.20
  5. Step 5: Solve for x
    x = 76,694.20/315.85
  6. Step 6: Final answer
    x = 242.82

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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.