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Finding the Fourth Proportional to 314.26, 470.98 and 177.10

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Solution

The fourth proportional to 314.26, 470.98 and 177.10 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 470.98 = 177.10 : x
  2. Step 2: Convert to fraction form
    314.26/470.98 = 177.10/x
  3. Step 3: Cross multiply
    314.26x = 470.98 × 177.10
  4. Step 4: Simplify right side
    314.26x = 83,410.56
  5. Step 5: Solve for x
    x = 83,410.56/314.26
  6. Step 6: Final answer
    x = 265.42

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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.