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Finding the Fourth Proportional to 312.70, 469.13 and 117.73

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Solution

The fourth proportional to 312.70, 469.13 and 117.73 is: 176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.70 : 469.13 = 117.73 : x
  2. Step 2: Convert to fraction form
    312.70/469.13 = 117.73/x
  3. Step 3: Cross multiply
    312.70x = 469.13 × 117.73
  4. Step 4: Simplify right side
    312.70x = 55,228.62
  5. Step 5: Solve for x
    x = 55,228.62/312.70
  6. Step 6: Final answer
    x = 176.62

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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.