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Finding the Fourth Proportional to 297.31, 410.18 and 172.93

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Solution

The fourth proportional to 297.31, 410.18 and 172.93 is: 238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.31 : 410.18 = 172.93 : x
  2. Step 2: Convert to fraction form
    297.31/410.18 = 172.93/x
  3. Step 3: Cross multiply
    297.31x = 410.18 × 172.93
  4. Step 4: Simplify right side
    297.31x = 70,932.43
  5. Step 5: Solve for x
    x = 70,932.43/297.31
  6. Step 6: Final answer
    x = 238.58

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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.