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Finding the Fourth Proportional to 312.17, 468.45 and 175.31

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Solution

The fourth proportional to 312.17, 468.45 and 175.31 is: 263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.17 : 468.45 = 175.31 : x
  2. Step 2: Convert to fraction form
    312.17/468.45 = 175.31/x
  3. Step 3: Cross multiply
    312.17x = 468.45 × 175.31
  4. Step 4: Simplify right side
    312.17x = 82,121.63
  5. Step 5: Solve for x
    x = 82,121.63/312.17
  6. Step 6: Final answer
    x = 263.07

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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.