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Finding the Fourth Proportional to 471.15, 706.82 and 178.65

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Solution

The fourth proportional to 471.15, 706.82 and 178.65 is: 268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 706.82 = 178.65 : x
  2. Step 2: Convert to fraction form
    471.15/706.82 = 178.65/x
  3. Step 3: Cross multiply
    471.15x = 706.82 × 178.65
  4. Step 4: Simplify right side
    471.15x = 126,272.50
  5. Step 5: Solve for x
    x = 126,272.50/471.15
  6. Step 6: Final answer
    x = 268.01

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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.