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Finding the Fourth Proportional to 312.83, 469.19 and 117.82

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Solution

The fourth proportional to 312.83, 469.19 and 117.82 is: 176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.83 : 469.19 = 117.82 : x
  2. Step 2: Convert to fraction form
    312.83/469.19 = 117.82/x
  3. Step 3: Cross multiply
    312.83x = 469.19 × 117.82
  4. Step 4: Simplify right side
    312.83x = 55,280.85
  5. Step 5: Solve for x
    x = 55,280.85/312.83
  6. Step 6: Final answer
    x = 176.71

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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.