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Finding the Fourth Proportional to 314.17, 471.33 and 97.75

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Solution

The fourth proportional to 314.17, 471.33 and 97.75 is: 146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.17 : 471.33 = 97.75 : x
  2. Step 2: Convert to fraction form
    314.17/471.33 = 97.75/x
  3. Step 3: Cross multiply
    314.17x = 471.33 × 97.75
  4. Step 4: Simplify right side
    314.17x = 46,072.26
  5. Step 5: Solve for x
    x = 46,072.26/314.17
  6. Step 6: Final answer
    x = 146.65

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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.