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Finding the Fourth Proportional to 314.45, 470.82 and 177.29

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Solution

The fourth proportional to 314.45, 470.82 and 177.29 is: 265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.45 : 470.82 = 177.29 : x
  2. Step 2: Convert to fraction form
    314.45/470.82 = 177.29/x
  3. Step 3: Cross multiply
    314.45x = 470.82 × 177.29
  4. Step 4: Simplify right side
    314.45x = 83,469.32
  5. Step 5: Solve for x
    x = 83,469.32/314.45
  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.