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Finding the Fourth Proportional to 314.31, 433.76 and 176.31

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Solution

The fourth proportional to 314.31, 433.76 and 176.31 is: 243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 433.76 = 176.31 : x
  2. Step 2: Convert to fraction form
    314.31/433.76 = 176.31/x
  3. Step 3: Cross multiply
    314.31x = 433.76 × 176.31
  4. Step 4: Simplify right side
    314.31x = 76,476.23
  5. Step 5: Solve for x
    x = 76,476.23/314.31
  6. Step 6: Final answer
    x = 243.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.