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Finding the Fourth Proportional to 314.53, 471.69 and 131.89

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Solution

The fourth proportional to 314.53, 471.69 and 131.89 is: 197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.53 : 471.69 = 131.89 : x
  2. Step 2: Convert to fraction form
    314.53/471.69 = 131.89/x
  3. Step 3: Cross multiply
    314.53x = 471.69 × 131.89
  4. Step 4: Simplify right side
    314.53x = 62,211.19
  5. Step 5: Solve for x
    x = 62,211.19/314.53
  6. Step 6: Final answer
    x = 197.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.