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Finding the Fourth Proportional to 310.18, 465.20 and 117.76

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Solution

The fourth proportional to 310.18, 465.20 and 117.76 is: 176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.18 : 465.20 = 117.76 : x
  2. Step 2: Convert to fraction form
    310.18/465.20 = 117.76/x
  3. Step 3: Cross multiply
    310.18x = 465.20 × 117.76
  4. Step 4: Simplify right side
    310.18x = 54,781.95
  5. Step 5: Solve for x
    x = 54,781.95/310.18
  6. Step 6: Final answer
    x = 176.61

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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.