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Finding the Fourth Proportional to 314.46, 471.70 and 98.22

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Solution

The fourth proportional to 314.46, 471.70 and 98.22 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 471.70 = 98.22 : x
  2. Step 2: Convert to fraction form
    314.46/471.70 = 98.22/x
  3. Step 3: Cross multiply
    314.46x = 471.70 × 98.22
  4. Step 4: Simplify right side
    314.46x = 46,330.37
  5. Step 5: Solve for x
    x = 46,330.37/314.46
  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.