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Finding the Fourth Proportional to 310.98, 465.73 and 156.42

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Solution

The fourth proportional to 310.98, 465.73 and 156.42 is: 234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 465.73 = 156.42 : x
  2. Step 2: Convert to fraction form
    310.98/465.73 = 156.42/x
  3. Step 3: Cross multiply
    310.98x = 465.73 × 156.42
  4. Step 4: Simplify right side
    310.98x = 72,849.49
  5. Step 5: Solve for x
    x = 72,849.49/310.98
  6. Step 6: Final answer
    x = 234.26

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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.