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Finding the Fourth Proportional to 464, 696.06 and 155.92

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Solution

The fourth proportional to 464, 696.06 and 155.92 is: 233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 696.06 = 155.92 : x
  2. Step 2: Convert to fraction form
    464/696.06 = 155.92/x
  3. Step 3: Cross multiply
    464x = 696.06 × 155.92
  4. Step 4: Simplify right side
    464x = 108,529.68
  5. Step 5: Solve for x
    x = 108,529.68/464
  6. Step 6: Final answer
    x = 233.90

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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.