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Finding the Fourth Proportional to 314.14, 470.94 and 177.16

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Solution

The fourth proportional to 314.14, 470.94 and 177.16 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.14 : 470.94 = 177.16 : x
  2. Step 2: Convert to fraction form
    314.14/470.94 = 177.16/x
  3. Step 3: Cross multiply
    314.14x = 470.94 × 177.16
  4. Step 4: Simplify right side
    314.14x = 83,431.73
  5. Step 5: Solve for x
    x = 83,431.73/314.14
  6. Step 6: Final answer
    x = 265.59

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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.