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Finding the Fourth Proportional to 314.42, 471.22 and 131.57

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Solution

The fourth proportional to 314.42, 471.22 and 131.57 is: 197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 471.22 = 131.57 : x
  2. Step 2: Convert to fraction form
    314.42/471.22 = 131.57/x
  3. Step 3: Cross multiply
    314.42x = 471.22 × 131.57
  4. Step 4: Simplify right side
    314.42x = 61,998.42
  5. Step 5: Solve for x
    x = 61,998.42/314.42
  6. Step 6: Final answer
    x = 197.18

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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.