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Finding the Fourth Proportional to 314.34, 471.78 and 177.52

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Solution

The fourth proportional to 314.34, 471.78 and 177.52 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 471.78 = 177.52 : x
  2. Step 2: Convert to fraction form
    314.34/471.78 = 177.52/x
  3. Step 3: Cross multiply
    314.34x = 471.78 × 177.52
  4. Step 4: Simplify right side
    314.34x = 83,750.39
  5. Step 5: Solve for x
    x = 83,750.39/314.34
  6. Step 6: Final answer
    x = 266.43

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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.