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Finding the Fourth Proportional to 314.86, 471.38 and 177.26

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Solution

The fourth proportional to 314.86, 471.38 and 177.26 is: 265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 471.38 = 177.26 : x
  2. Step 2: Convert to fraction form
    314.86/471.38 = 177.26/x
  3. Step 3: Cross multiply
    314.86x = 471.38 × 177.26
  4. Step 4: Simplify right side
    314.86x = 83,556.82
  5. Step 5: Solve for x
    x = 83,556.82/314.86
  6. Step 6: Final answer
    x = 265.38

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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.