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Finding the Fourth Proportional to 471.06, 706.08 and 162.82

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Solution

The fourth proportional to 471.06, 706.08 and 162.82 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 706.08 = 162.82 : x
  2. Step 2: Convert to fraction form
    471.06/706.08 = 162.82/x
  3. Step 3: Cross multiply
    471.06x = 706.08 × 162.82
  4. Step 4: Simplify right side
    471.06x = 114,963.95
  5. Step 5: Solve for x
    x = 114,963.95/471.06
  6. Step 6: Final answer
    x = 244.05

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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.