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Finding the Fourth Proportional to 314.62, 471.25 and 177.48

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Solution

The fourth proportional to 314.62, 471.25 and 177.48 is: 265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.62 : 471.25 = 177.48 : x
  2. Step 2: Convert to fraction form
    314.62/471.25 = 177.48/x
  3. Step 3: Cross multiply
    314.62x = 471.25 × 177.48
  4. Step 4: Simplify right side
    314.62x = 83,637.45
  5. Step 5: Solve for x
    x = 83,637.45/314.62
  6. Step 6: Final answer
    x = 265.84

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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.