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Finding the Fourth Proportional to 314.89, 471.42 and 177.69

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Solution

The fourth proportional to 314.89, 471.42 and 177.69 is: 266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.89 : 471.42 = 177.69 : x
  2. Step 2: Convert to fraction form
    314.89/471.42 = 177.69/x
  3. Step 3: Cross multiply
    314.89x = 471.42 × 177.69
  4. Step 4: Simplify right side
    314.89x = 83,768.39
  5. Step 5: Solve for x
    x = 83,768.39/314.89
  6. Step 6: Final answer
    x = 266.03

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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.