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Finding the Fourth Proportional to 311.98, 468.10 and 117.07

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Solution

The fourth proportional to 311.98, 468.10 and 117.07 is: 175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 468.10 = 117.07 : x
  2. Step 2: Convert to fraction form
    311.98/468.10 = 117.07/x
  3. Step 3: Cross multiply
    311.98x = 468.10 × 117.07
  4. Step 4: Simplify right side
    311.98x = 54,799.77
  5. Step 5: Solve for x
    x = 54,799.77/311.98
  6. Step 6: Final answer
    x = 175.65

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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.