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Finding the Fourth Proportional to 314.67, 471.95 and 98.24

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Solution

The fourth proportional to 314.67, 471.95 and 98.24 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.67 : 471.95 = 98.24 : x
  2. Step 2: Convert to fraction form
    314.67/471.95 = 98.24/x
  3. Step 3: Cross multiply
    314.67x = 471.95 × 98.24
  4. Step 4: Simplify right side
    314.67x = 46,361.52
  5. Step 5: Solve for x
    x = 46,361.52/314.67
  6. Step 6: Final answer
    x = 147.33

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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.