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Finding the Fourth Proportional to 314.76, 471.70 and 141.48

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Solution

The fourth proportional to 314.76, 471.70 and 141.48 is: 212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 471.70 = 141.48 : x
  2. Step 2: Convert to fraction form
    314.76/471.70 = 141.48/x
  3. Step 3: Cross multiply
    314.76x = 471.70 × 141.48
  4. Step 4: Simplify right side
    314.76x = 66,736.12
  5. Step 5: Solve for x
    x = 66,736.12/314.76
  6. Step 6: Final answer
    x = 212.02

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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.