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Finding the Fourth Proportional to 310.20, 465.06 and 117.96

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Solution

The fourth proportional to 310.20, 465.06 and 117.96 is: 176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 465.06 = 117.96 : x
  2. Step 2: Convert to fraction form
    310.20/465.06 = 117.96/x
  3. Step 3: Cross multiply
    310.20x = 465.06 × 117.96
  4. Step 4: Simplify right side
    310.20x = 54,858.48
  5. Step 5: Solve for x
    x = 54,858.48/310.20
  6. Step 6: Final answer
    x = 176.85

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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.