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Finding the Fourth Proportional to 314.10, 471.20 and 97.71

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Solution

The fourth proportional to 314.10, 471.20 and 97.71 is: 146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 471.20 = 97.71 : x
  2. Step 2: Convert to fraction form
    314.10/471.20 = 97.71/x
  3. Step 3: Cross multiply
    314.10x = 471.20 × 97.71
  4. Step 4: Simplify right side
    314.10x = 46,040.95
  5. Step 5: Solve for x
    x = 46,040.95/314.10
  6. Step 6: Final answer
    x = 146.58

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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.