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Finding the Fourth Proportional to 314.06, 471.14 and 108.66

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Solution

The fourth proportional to 314.06, 471.14 and 108.66 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 471.14 = 108.66 : x
  2. Step 2: Convert to fraction form
    314.06/471.14 = 108.66/x
  3. Step 3: Cross multiply
    314.06x = 471.14 × 108.66
  4. Step 4: Simplify right side
    314.06x = 51,193.53
  5. Step 5: Solve for x
    x = 51,193.53/314.06
  6. Step 6: Final answer
    x = 163.01

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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.