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Finding the Fourth Proportional to 315.86, 435.89 and 175.97

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Solution

The fourth proportional to 315.86, 435.89 and 175.97 is: 242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.86 : 435.89 = 175.97 : x
  2. Step 2: Convert to fraction form
    315.86/435.89 = 175.97/x
  3. Step 3: Cross multiply
    315.86x = 435.89 × 175.97
  4. Step 4: Simplify right side
    315.86x = 76,703.77
  5. Step 5: Solve for x
    x = 76,703.77/315.86
  6. Step 6: Final answer
    x = 242.84

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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.