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Finding the Fourth Proportional to 463.98, 696.12 and 155.86

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Solution

The fourth proportional to 463.98, 696.12 and 155.86 is: 233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 696.12 = 155.86 : x
  2. Step 2: Convert to fraction form
    463.98/696.12 = 155.86/x
  3. Step 3: Cross multiply
    463.98x = 696.12 × 155.86
  4. Step 4: Simplify right side
    463.98x = 108,497.26
  5. Step 5: Solve for x
    x = 108,497.26/463.98
  6. Step 6: Final answer
    x = 233.84

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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.