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Finding the Fourth Proportional to 314.73, 470.97 and 177.39

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Solution

The fourth proportional to 314.73, 470.97 and 177.39 is: 265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.73 : 470.97 = 177.39 : x
  2. Step 2: Convert to fraction form
    314.73/470.97 = 177.39/x
  3. Step 3: Cross multiply
    314.73x = 470.97 × 177.39
  4. Step 4: Simplify right side
    314.73x = 83,545.37
  5. Step 5: Solve for x
    x = 83,545.37/314.73
  6. Step 6: Final answer
    x = 265.45

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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.