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Finding the Fourth Proportional to 314.13, 471.22 and 97.71

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Solution

The fourth proportional to 314.13, 471.22 and 97.71 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 471.22 = 97.71 : x
  2. Step 2: Convert to fraction form
    314.13/471.22 = 97.71/x
  3. Step 3: Cross multiply
    314.13x = 471.22 × 97.71
  4. Step 4: Simplify right side
    314.13x = 46,040.06
  5. Step 5: Solve for x
    x = 46,040.06/314.13
  6. Step 6: Final answer
    x = 146.57

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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.