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Finding the Fourth Proportional to 309.98, 465.24 and 155.86

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Solution

The fourth proportional to 309.98, 465.24 and 155.86 is: 233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 465.24 = 155.86 : x
  2. Step 2: Convert to fraction form
    309.98/465.24 = 155.86/x
  3. Step 3: Cross multiply
    309.98x = 465.24 × 155.86
  4. Step 4: Simplify right side
    309.98x = 72,512.31
  5. Step 5: Solve for x
    x = 72,512.31/309.98
  6. Step 6: Final answer
    x = 233.93

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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.